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Best msieve poly scores
I spent a few hours tallying the best poly score posted in the request thread for each size of composite, as well as my own searches. Most of the bests were found with very small A1 values- it occured to me halfway through to record A1, but I didn't want to review the first 250 posts to record them.
Please post any poly that beats these bests for 145 digits or larger! This record provides a guide of a "good enough" score to proceed with sieving for a variety of composite sizes. [code]Digits Score Found by Date Number 145 1.22e-11 YuL 10-13 10^217-6*10^108-1/3 146 1.10e-11 VBCurtis 01-16 13*2^776-1 147 8.28e-12 VBCurtis 02-15 3*2^697-1 148 7.29e-12 Firejuggler 09-13 3408:? 150 6.74e-12 chris2be8 02-14 572000:3135 153 3.85e-12 Gimarel-CPU 12-15 30450:817 154 3.47e-12 sashamkrt 04-14 611156:7547 155 3.23e-12 Firejuggler 08-13 3408:1311 156 2.67e-12 Batalov 11-13 96^113+1 157 2.27e-12 VBCurtis 07-13 181^103-1 158 2.25e-12 Batalov 11-13 4788:5192 159 1.98e-12 chris2be8 02-14 7044:3426 160 1.33e-12 VBCurtis 02-14 3408:1385 161 1.40e-12 sashamkrt 11-13 4788:5193 162 1.16e-12 firejuggler 09-13 3408:1361 164 9.26e-13 VBCurtis 01-16 13*2^797-1 165 7.00e-13 sashamkrt 11-13 3366:2098 166 7.11e-13 chris2be8 04-14 3408:1399 168 5.32e-13 sashamkrt 10-13 xyyx130_119 169 4.10e-13 Firejuggler 07-13 xyyx123_109 169 4.10e-13 wombatman 08-13 xyyx141_71 173 2.43e-13 RichD 04-13 4788:5154 176 1.32e-13 VBCurtis 07-13 3270:677 178 1.04e-13 wombatman 09-13 8352.1755 184 4.32e-14 wombatman 08-15 125!+1 198 7.15e-15 Gimarel 01-16 E-M 216 4.66e-16deg6 Frmky 08-13 3,766+ 216 3.61e-16deg5 Gimarel 08-13 3,766+ 221 3.36e-16deg6 Gimarel 12-13 3,697+[/code] Note that msieve's E-score calculator changed around 1/14, so the 2013 scores are slightly inflated. |
This [URL=http://www.mersenneforum.org/showpost.php?p=424602&postcount=217]post[/URL] has a C167 which the poly search went to 15M. The best score was A5=5100 !
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C161 from 933436:i12438
[CODE]# norm 1.875988e-15 alpha -7.356774 e 1.635e-12 rroots 5 n: 42075418469319361786577882404568940519663914935650169658055876434498388967349916303765822791624796814819702293494852089742879577511621679452756289217763075985339 skew: 5830710.21 c0: 98387957822954533977281881142508539870 c1: 82125775307083353990431613580461 c2: -74107802662415361764003368 c3: -36971277990643008822 c4: 2440433745692 c5: 36432 Y0: -16312067662139097981295780823727 Y1: 201668864071293073[/CODE]C165 from 842592:i8014 [CODE]# norm 5.723195e-16 alpha -6.942073 e 8.102e-13 rroots 5 n: 995918441161335371590997818143489914960691331833750288109584361000234720495674297799222551322048799039686734861638945556396424074115400708180731445764610266548035011 skew: 17111769.10 c0: -7690375845622654464062934715448001266100 c1: 1715728540913085286674625774210140 c2: 648390301476014322204623901 c3: -63322639985037203573 c4: -2437234769723 c5: 13020 Y0: -150218204464132614138409634794859 Y1: 79747818963309311 [/CODE]C171 from 842592:i8031 [CODE]# norm 1.198436e-16 alpha -7.369793 e 3.136e-13 rroots 5 n: 991137680127432594321773809935730841888752735306069285513558985607156685847648101650358579467234900071536672886112377804025095444407173083481034864626040645547337781487227 skew: 39911071.55 c0: -3211568627502523668468123456784749341280752 c1: 264314545858360986321326909090622780 c2: 14713391251071276190512512108 c3: -955727265383591857467 c4: -13160165751570 c5: 58608 Y0: -1760497521146460039315365095018125 Y1: 68342546133971239[/CODE] |
c149 from near-repdigit (8*10^214-71)/9
[CODE]# Murphy_E = 7.843e-12 n: 16959338841768999494565364438163262758930270817072550864096291075061057409649073768789126248711254175985864450966349329113751611729012348546175912713 Y0: -55311191436959209620449772936 Y1: 1789690677764869 c0: -6039713889120462410053061046600954731 c1: 1953891737540517417499742510502 c2: 1667275105349326844907688 c3: -1136125523178091278 c4: -101325040781 c5: 32760 skew: 3916149.6[/CODE]c160 from 933436:i12443 [CODE]n: 2038726261314611595795000398585389536551626243592015239377846139743297924259913904569760172483839883915556064555262940422202571550928757991389904829842794428237 skew: 1979986.51 c0: -1718169188742426648785141800535181639 c1: 2239437023778984114586202348968 c2: 11264052329553432358045529 c3: -13434673667263353708 c4: -3326989483270 c5: 35400 Y0: -8955115702856695870555839049366 Y1: 77233721225104993 #skew 1979986.51, size 1.580e-15, alpha -5.740, combined = 1.465e-12 rroots = 5[/CODE] |
c157 from aliquot sequence 30450:854
[CODE] n: 2786119870087929984053907185778604702654878614161363744535862147159303446926398228422709102571251551474171518752019803331325833651677424802896907507444708401 Y0: -4262528747234992592073239255661 Y1: 255627400339609433 c0: -5855968602847951603882451216769641478208 c1: 819901914385787848276843260505176 c2: 66319918095577024390278230 c3: -4773602585014443477 c4: -151854982336 c5: 1980 # skew 23879751.90, size 3.269e-015, alpha -6.930, combined = 2.291e-012 rroots = 5 [/CODE] |
C156 from Aliquot sequence 829332:3605. Poly found by VBCurtis.
[CODE]N 163727926668678035939618053446364480300300719840063508810834694701350128493871168693101567743639977109458829559656666787504985092716814050668990858237669441 SKEW 2799412.69 R0 -1146089445280446698217724846984 R1 29984411104464641 A0 -8388623445446886233513062917901701375 A1 8123777995019347585820981509456 A2 5398445052487820593051471 A3 -3891197957664010388 A4 -1016172369612 A5 82800 #skew 2799412.69, size 4.507e-15, alpha -6.202, combined = 2.765e-12 rroots = 5[/CODE] |
Thanks, guys. I intend to track this thread and the poly select thread, with an updated list posted every few months. Here's the current one:
[code] Digits Score Found by Date Number 145 1.22e-11 YuL 10-13 (10^217-6*10^108-1)/3 146 1.10e-11 VBCurtis 01-16 13*2^776-1 147 8.28e-12 VBCurtis 02-15 3*2^697-1 148 7.29e-12 Firejuggler 09-13 3408:? 149 7.84e-12 unconnected 02-16 (8*10^214-71)/9 150 6.74e-12 chris2be8 02-14 572000:3135 151 152 153 3.85e-12 Gimarel-CPU 12-15 30450:817 154 3.47e-12 sashamkrt 04-14 611156:7547 155 3.23e-12 Firejuggler 08-13 3408:1311 156 2.76e-12 VBCurtis 03-16 829332:3605 157 2.29e-12 Alfred 04-16 30450:854 158 2.25e-12 Batalov 11-13 4788:5192 159 1.98e-12 chris2be8 02-14 7044:3426 160 1.46e-12 unconnected 02-16 933436:12443 161 1.63e-12 unconnected 02-16 933436:12438 162 1.16e-12 firejuggler 09-13 3408:1361 1.16e-12 RichD 03-16 xyyx145_107 163 164 9.26e-13 VBCurtis 01-16 13*2^797-1 165 8.10e-13 unconnected 02-16 842592:8014 166 7.11e-13 chris2be8 04-14 3408:1399 167 5.65e-13 RichD 01-16 3408:1608 168 5.32e-13 sashamkrt 10-13 xyyx130_119 169 4.10e-13 Firejuggler 07-13 xyyx123_109 4.10e-13 wombatman 08-13 xyyx141_71 170 3.91e-13 RichD 02-16 P226+1 (wblipp) 171 3.13e-13 unconnected 02-16 842592:8031 173 2.43e-13 RichD 04-13 4788:5154 176 1.32e-13 VBCurtis 07-13 3270:677 177 1.27e-13 VBCurtis 04-16 xyyx148_94 178 1.04e-13 wombatman 09-13 8352.1755 184 4.32e-14 wombatman 08-15 125!+1 198 7.15e-15 Gimarel 01-16 E-M 216 4.66e-16deg6 Frmky 08-13 3,766+ 216 3.61e-16deg5 Gimarel 08-13 3,766+ 221 3.36e-16deg6 Gimarel 12-13 3,697+[/code] |
At factordb, the factorizations of
[CODE] 13*2^776-1 (c191) 3*2^697-1 (c147) 145^107+107^145 (c162) 13*2^797-1 (c206) 148^94+94^148 (c177) 125!+1 (c184) [/CODE] are not complete. Lacks the numbers factorization or lacks the database contribution? |
I don't post my riesel factorizations to factordb, just to Mr Klasson's site mklasson.com/factors.
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C163 from 11040:9528:
[CODE]# norm 7.653393e-16 alpha -7.757906 e 8.569e-13 rroots 5 skew: 14958057.75 c0: -51407400875419237016071246760203273967435 c1: 14989721170827422996211206350247090 c2: 1869345216663359792922782948 c3: -173140890536518594898 c4: -9771585160137 c5: 261072 Y0: -31798162173028009697353362169428 Y1: 56248022230772437 [/CODE]And note C173 with e=2.511e-13 [URL="http://mersenneforum.org/showpost.php?p=431024&postcount=550"]here[/URL] |
Hi ho, hi ho, to the data mines we go ...
[code]for u in $(seq 145 200); do echo $u $(grep -lR "$u digits" logs | xargs grep -H combined | sort -gk14 | tail -n 1 | awk '{print $14}'); done[/code]
[code] 145 1.394e-11 146 1.083e-11 147 1.024e-11 148 7.734e-12 149 6.696e-12 150 6.521e-12 151 5.106e-12 152 5.193e-12 153 4.021e-12 154 3.327e-12 155 2.960e-12 156 2.682e-12 157 2.258e-12 158 2.031e-12 159 2.051e-12 160 1.557e-12 162 1.087e-12 163 9.778e-13 164 8.983e-13 165 7.763e-13 166 5.828e-13 167 6.902e-13 169 4.132e-13 171 2.898e-13 172 2.650e-13 175 1.800e-13 178 1.194e-13 190 1.703e-14 194 1.221e-14 [/code] This is a directory full of linear-algebra logs, so these are the scores of the polynomial I sieved with; I've got a trial-sieve phase, so these are scores of the best-sieving rather than necessarily the best-scoring polynomial |
[QUOTE=VBCurtis;431726]I don't post my riesel factorizations to factordb, just to Mr Klasson's site mklasson.com/factors.[/QUOTE]
Would any of them be smaller that 120 digits? I've factored quite a few numbers of form k.2^n-1 from factordb up to 119 digits and would not like to duplicate work already done. Chris |
Mr Klasson's site tracks only k up to 15, and all our remaining composites are 140 digits or larger. I've done a tiny bit of work on k = 17, but just a few CPU-days; I haven't reported those anywhere 'cause I didn't get very far.
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c148 from aliquot sequence 408744:3148
[CODE] # norm 3.422363e-14 alpha -5.936394 e 8.106e-12 rroots 3 n: 1939235571660442813608521123434086136566665985795776526640156438531510063789721209109117030743430409872362039274329991351238526535353904463675807293 skew: 2404280.47 c0: 233883264091628136257904310643233100 c1: 556563406433388443697653664984 c2: 35679083825503403846141 c3: -292727754019326750 c4: 52297325102 c5: 9384 Y0: -46030775765190921922799593593 Y1: 20896840736748613 [/CODE] |
Info for a smaller composite:
c142 from aliquot 230916:4353 nfs: best poly = # norm 1.452046e-013 alpha -7.449783 e 1.839e-011 rroots 5 [CODE]n: 2214530379364092803459638419536438964802657787609806173924788906066752569852980243396068528822409949982646950184731021275523496063306697681557 skew: 4298464.62 c0: -133976463209871790707384401241967320 c1: 187123613165673476928418960866 c2: 582640885581702975557647 c3: -118486544502128332 c4: -29754859796 c5: 336 Y0: -5804839216569921148884028637 Y1: 1299585929038877 rlim: 16000000 alim: 16000000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6[/CODE] |
A C155 from 119!-5:
[CODE] n:14983833053669267073388859640749386761592128691535474632716887403740027331275486495085918514582693799340373342068801035123016311177538173489337402480577483 skew 5708636.19, size 5.616e-015, alpha -7.542, combined = 3.121e-012 rroots = 5 R0: -850553565122869061034261830287 R1: 18849943498486567 A0: 172196109872180577784598294873273361360 A1: 51833966860496483626341772381252 A2: -41070998680490039762041384 A3: -6784822293841150427 A4: 1635166252008 A5: 33660 [/CODE] |
c151 from aliquot sequence 342144:443
[CODE] n: 1057572529953947070986938242548533726767656546881332202207999800177097248084986188497807677378705213106913529877330809960101368031087345156307598824387 skew 9780541.55, size 1.494e-14, alpha -7.045, combined = 5.583e-12 rroots = 5 R0: -192547063000931257915545809262 R1: 4436889611965919 A0: 48278227434498164276953134432192997525 A1: 43535400704061552233504534289680 A2: -6992291974079133447242434 A3: -1132852896075083372 A4: 75631249005 A5: 3996 [/CODE] |
C146
cofactor of (136*10^208-1)/9
[url]http://stdkmd.com/nrr/c.cgi?q=15111_208[/url] [code] # Murphy_E = 1.23248345e-11, selected by Maksym Voznyy # selected by CADO-NFS n: 11133083975614393174618106789842541849999798450075953644503853715832934826650529799267849607478318984750751468487348433361620156657048935628137667 Y0: -8465139152662472823271804899 Y1: 217586749880489433607 c0: 40603904011815270118467328499250 c1: -7258916478497188892538718405 c2: 26792661013772231492628 c3: 394898230885063231 c4: 69401799606 c5: 1534680 skew: 196661.06596 type: gnfs [/code] |
C142
cofactor of (10^216+71)/9
[url]http://stdkmd.com/nrr/cont/1/11119.htm#N216_C142[/url] [code] # Murphy_E = 2.01586429e-11, selected by Maksym Voznyy # selected by CADO-NFS n: 3588400670974042702680837405464660540266389269005727836794465390573635642433026540041089934357245315252071761211898253220884617929306428555561 Y0: -3951518283918039803675904937 Y1: 4944813883904086457 c0: 4154836225756427964694338997956720 c1: 84338193174923556177344446154 c2: -14212371709515276223669 c3: -56200227425000130 c4: 3755305958 c5: 3720 skew: 2057884.15124 type: gnfs [/code] |
C157
cofactor of (58*10^224+23)/9
[url]http://stdkmd.com/nrr/c.cgi?q=64447_224[/url] [code] # Murphy_E = 2.74132554e-12, selected by Maksym Voznyy # selected by cado-nfs-2.2.0 n: 3052808714827299474913563042768663387446103747677187192092256054878499303741346332759423101801264392420724180666344408744793985066320550196201898450311255111 Y0: -2918999876811939818911761664529 Y1: 65491369105410737643217 c0: 1027302415368579954614447177408865340 c1: 5357797564515979755713712585209 c2: 7717777084391720884069418 c3: -3919335731067285077 c4: -874303257420 c5: 280800 skew: 2366600.14884 type: gnfs [/code] |
C172
cofactor of 13*2^905-1
poly found by CADO-NFS [url]http://ftp.mersenneforum.org/showpost.php?p=449463&postcount=759[/url] [code] Msieve v. 1.52 (SVN 958) N=1374250293977900524006825181025041222391785962418349198188752592542556833408706796147779390990626204883096007787340300959668458776589915992783964729160514357520386806570509 R0: -2428783629542938000277341534964669 R1: 66381298897887862049 A0: 1684917805428384144779731520398675160500 A1: -3745304290230496073233576119438452 A2: -2342124466784250014333947213 A3: 259669333218732646325 A4: 9553108753746 A5: 97560 skew 13056627.55, size 1.255e-016, alpha -7.189, combined = 3.338e-013 [/code] |
C156
[QUOTE=richs;431677]C156 from Aliquot sequence 829332:3605. Poly found by VBCurtis.
[CODE]N 163727926668678035939618053446364480300300719840063508810834694701350128493871168693101567743639977109458829559656666787504985092716814050668990858237669441 SKEW 2799412.69 R0 -1146089445280446698217724846984 R1 29984411104464641 A0 -8388623445446886233513062917901701375 A1 8123777995019347585820981509456 A2 5398445052487820593051471 A3 -3891197957664010388 A4 -1016172369612 A5 82800 #skew 2799412.69, size 4.507e-15, alpha -6.202, combined = 2.765e-12 rroots = 5[/CODE][/QUOTE] Optimized by CADO-NFS: [code] Y0: -1146089485327806075807326154430 Y1: 29984411104464641 c0: -2790893747295827131295746006836959259 c1: -2365843220115152814791290474280 c2: 8140892661148809990618571 c3: 3014648022519417100 c4: -1569113253612 c5: 82800 skew: 2591483.69774 # lognorm 48.45, E 42.01, alpha -6.44 (proj -2.68), 5 real roots # MurphyE(Bf=1.00e+07,Bg=5.00e+06,area=1.00e+16)=2.89031034e-12 [/code] |
C157
cofactor of (49*10^243-31)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=54441_243[/URL] Selected by CADO-NFS [code] n: 1052086207463728425138153477494700575452309150116607291984350263061154978407910776597435977914648527841010463173088391828162348327723088623990681140338688467 skew: 28499650.11207 c0: -1591058707435733812246464883443981289440 c1: 630627701474459115504758310426624 c2: -39481246135114685201995608 c3: -8243738472985519189 c4: 87549890948 c5: 780 Y0: -4224908793479713395852719378657 Y1: 75609485497744362521 # MurphyE = 2.77561084e-12 [/code] |
C154
cofactor of (17*10^222-53)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=18883_222[/URL] selected by CADO-NFS [code] # Murphy_E = 3.8206157e-12, selected by Maksym Voznyy # selected by CADO-NFS n: 1024914965861777229593420859215450529763289426858344943191336846997433056411378835201536967054481373800213649524971162623230352478736657828840323291698621 Y0: -271054891719436320165952734798 Y1: 56659567939067362051 c0: -120396169684422675633344061495987120 c1: 600276777922536155177826581597 c2: -471008302381998671684940 c3: -2457594620451385319 c4: 6586029709998 c5: 4201560 skew: 632716.96877 type: gnfs [/code] |
C153
cofactor of (11*10^264+43)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=12227_264[/URL] [code] # Murphy_E = 4.07588275e-12, selected by Maksym Voznyy # selected by CADO-NFS n: 104018545225502188415505191573346366381905533730933994504510795363877449939631648349579888371534560567858449406183808865936590598555508440626359269441833 Y0: -310368588068447352680898199578 Y1: 61492753366980099467 c0: -116144181678732968480701676211660 c1: -1426276619307943299647668333117 c2: 3583006793321763105500682 c3: 4355523766283395303 c4: -455167070148 c5: 1517040 skew: 792543.4896 type: gnfs [/code] |
C192
cofactor of 5,485+
[URL]http://www.mersenneforum.org/showpost.php?p=442264&postcount=689[/URL] [URL]http://pastebin.com/MvCekKbG[/URL] selected by CADO-NFS [code] Msieve v. 1.53 (SVN 993M) factoring 159606844777486996622001493248676781253657446160340103919763525855973407957438040283455724644299994710800278969793293354792687084555688685456352819684945756597119754044342907824786336052619581 (192 digits) R0: -11223325240205109992788983735570908718 R1: 7795093661095776174539 A0: 4798173127422106445769476004221526210702741745 A1: -179763441456522808486319960507175658459 A2: -7935748430535924107883194070573 A3: 12215109140753003345515 A4: 190922679292724 A5: 896280 skew 123369921.06, size 9.514e-19, alpha -7.132, combined = 1.698e-14 rroots = 3 [/code] |
C156
[URL]http://stdkmd.com/nrr/c.cgi?q=72221_224[/URL]
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C190
cofactor of 7,401-
[url]http://www.mersenneforum.org/showpost.php?p=442534&postcount=690[/url] frmky's poly root-sieved by CADO: [code] Msieve v. 1.52 (SVN 958) random seeds: e1ea31cc 96566c52 factoring 5233045517762861946183787862625996210067987025430148712214889146121068847836417762340926062515558689128392067604843479136535824046525384421703564234451360538324513961290513190200130193962851 (190 digits) searching for 15-digit factors commencing number field sieve (190-digit input) R0: -6663224107056350347360520346929176964 R1: 483809124239051281 A0: -327758563806401068393162373727567042428898849 A1: 43304109245990768969511311476303330521 A2: 3304474454907356807920517069755 A3: -24477052845078030580171 A4: -371332718602668 A5: 398412 skew 94199544.07, size 1.486e-018, alpha -6.972, combined = 2.221e-014 rroots = 5 [/code] |
C196
cofactor of 5,1085L
[url]http://www.mersenneforum.org/showpost.php?p=443130&postcount=699[/url] frmky's poly optimized by CADO-NFS: [code] Msieve v. 1.52 (SVN 958) R0: -188155415622240588386203271690934272872 R1: 761330694382736699 A0: -5028857917069877703993054971648622540720998257042575 A1: 11756271160597792684168466978657209695546271 A2: 729024639451619461952555698901641 A3: -745706917543767355401755 A4: -19669881577542 A5: 4488 skew 6871286455.92, size 2.995e-019, alpha -8.477, combined = 8.164e-015 [/code] |
C197
cofactor of 10,325+
[url]http://www.mersenneforum.org/showpost.php?p=443413&postcount=700[/url] selected by CADO-NFS: [code] Msieve v. 1.52 (SVN 958) R0: -211749473706922200328618506605766270339 R1: 25149014102345040136349927 A0: -64775438425752496430873578692913572727347501664 A1: 53063705532362222569585460244930918034 A2: 34917546543547006314477513393123 A3: -100918039437211814160901 A4: -1955199543988376 A5: 784320 skew 150000000.00, size 2.436e-019, alpha -6.959, combined = 7.240e-015 [/code] |
C199
cofactor of 10,515+
[url]http://www.mersenneforum.org/showpost.php?p=446032&postcount=148[/url] selected by CADO-NFS [code] Msieve v. 1.52 (SVN 958) R0: -429873155894842908328972286223207900523 R1: 1173407499622534153549 A0: 921152784545133512672868444928211620544589981840 A1: -39293694975142056979694617415210276238112 A2: -972446599487622683766964276896261 A3: 5311864367775954917911807 A4: 24680367142186866 A5: 6981480 skew 232590778.72, size 1.422e-019, alpha -9.026, combined = 5.111e-015 [/code] |
C186
cofactor of 842592:i8053
[url]http://www.mersenneforum.org/showpost.php?p=449443&postcount=757[/url] optimized by Msieve: [code] Msieve v. 1.52 (SVN 958) R0: -751217896570295493187004058524124683 R1: 33884063774013367187 A0: 37544216807884400948415050666337780970538400 A1: 2361233883525830183045934517221539520 A2: -886226891097569007226462747460 A3: -32890532881587189192487 A4: 1016585024161060 A5: 1537008 skew 31822718.06, size 2.818e-018, alpha -6.554, combined = 3.227e-014 [/code] |
C162
cofactor of (7*10^247-367)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=77737_247[/URL] selected by CADO-NFS: [code] # Murphy_E = 1.23815961e-12, selected by Maksym Voznyy # selected by CADO-NFS n: 109208048507065619557883790022406286409990927204257433821092013486322270605976232924776616649592953240909218820678080688557865698183245138313569834967361099283393 Y0: -12838449442629635352352958991889 Y1: 1393931473899258817073 c0: -559804612297288551681325292511013414 c1: 1018337270376320592250661651203 c2: -12375611307147675459360151 c3: -16088950936168825688 c4: 24526265509260 c5: 3128400 skew: 1033973.30499 type: gnfs [/code] |
C158
cofactor of (86*10^228-23)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=95553_228[/URL] [code] # Murphy_E = 2.43024789e-12, selected by Maksym Voznyy # selected by CADO-NFS n: 13149949765716920041520751406372322525055505555050694369720271659863083696138167605407656209657163131421342772315037904594511551705818910287084127802460624211 Y0: -2309945488569868324498283657106 Y1: 33462612220614222889879 c0: 5110925872303218251788260959386982875 c1: -23423731224374139598654585997255 c2: -3087696049255125682612627 c3: -143420296128246997 c4: 729499432104 c5: 189420 skew: 3274783.46328 type: gnfs [/code] |
C155
cofactor of 10^229-11
[URL]http://stdkmd.com/nrr/c.cgi?q=99989_229[/URL] [code] # Murphy_E = 3.33376892e-12, selected by Maksym Voznyy # selected by CADO-NFS n: 11237973604853438894633230488398553263998036286864563315277678698673759755714368015717953146979831393813369932269488734266335042833352264474821788514826657 Y0: -827984481989963014079656665250 Y1: 1430450098606045720351 c0: -1079578937546544703808617475530986258279 c1: 263773488565783315163069479644596 c2: 67253621739298122558766443 c3: -10739198374180798436 c4: 571697273556 c5: 85680 skew: 8301138.10965 type: gnfs [/code] |
C191
cofactor of 2,2110M
[URL]http://maths-people.anu.edu.au/~bai/factor/c191a.html[/URL] [code] n: 19117975509231950217835785604990810904518468642464948166041774439993974562396694935202635037349180791399758842094030975487372030483098669352421928376873340366173265470369441195157494037196561 Y0: -1505162426746461052271114545777082092 Y1: 867663442071987712595299 c0: -2431911072011909433980967094860310515350721 c1: 2564500701705735114075514578650056623 c2: 1233890235891115516584390349615 c3: -237737922227670719017911 c4: -86033016621660582 c5: 2474763840 skew: 4662654.89454 # lognorm 59.74, E 53.40, alpha -6.33 (proj -2.35), 3 real roots # MurphyE=1.59369950e-14 [/code] |
Max-
Thanks for your contributions, both finding polys and keeping this thread active! I'll make a new table of best-CADO results sometime soon, as well as updating the table of msieve bests. Comparing the tables may motivate more folks to install CADO! |
c148
cofactor of 6*10^232+7
[URL]http://stdkmd.com/nrr/c.cgi?q=60007_232[/URL] [code] # Murphy_E = 8.53417564e-12, selected by Maksym Voznyy # selected by CADO-NFS n: 1081070499706837295606107277227725125598481142498198156835632894422084507331509898145075612158251521538176590369094178875061662750575236581800920849 Y0: -52234134332470040855427008965 Y1: 60687085638162869533 c0: 12106881916944653599518141940740800 c1: 103355343846383728606815328544 c2: -460414002099259638809336 c3: -267962862147563522 c4: 261601213965 c5: 41400 skew: 1244766.4427 type: gnfs [/code] |
C171
cofactor of (4*10^261-13)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=44443_261[/URL] [code] # Murphy_E = 3.51532847e-13, selected by Maksym Voznyy # selected by CADO-NFS n: 144577109897240084614197867340817322594680360416472429629820742234896918848656054881479018188355507276010109722765457929419876472265339319157744742240097534290965258416567 Y0: -1980908935880348368776451333142479 Y1: 21315946248907966201 c0: -1190641025513107931894530794785216126832 c1: 229673897069009330809094641385590 c2: 196408385407727318095996119 c3: 15781259529012062313 c4: -2755241670650 c5: 9480 skew: 11291064.27327 type: gnfs [/code] |
C171
cofactor of (4*10^261-13)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=44443_261[/URL] [code] # Murphy_E = 3.73048152e-13, selected by Maksym Voznyy # selected by CADO-NFS n: 144577109897240084614197867340817322594680360416472429629820742234896918848656054881479018188355507276010109722765457929419876472265339319157744742240097534290965258416567 Y0: -1170436620041662291964214443560117 Y1: 138945327293180528701 c0: -1597691204093769277794126946465376505936 c1: 6730261692377783968022267561785704 c2: -2033214308613920912797357131 c3: -497040717488482461601 c4: 27504257917010 c5: 658200 skew: 8757928.44806 type: gnfs [/code] |
C148
cofactor of (59*10^229+13)/9
[code] Y0: -25203984918536470297264161547 Y1: 1397926860855290677517 c0: 3680264908151275111669005593300736 c1: 16511508029866846512798860548 c2: -101636086541834748307397 c3: 187423733438949703 c4: 262166472342 c5: 186480 skew: 600482.50719 # lognorm 44.96, E 38.15, alpha -6.80 (proj -2.46), 1 real root # MurphyE = 9.33452791e-12 [/code] |
C151
cofactor of (82*10^245+17)/9
[url]http://stdkmd.com/nrr/c.cgi?q=91113_245[/url] [code] # Murphy_E = 5.78132603e-12, selected by Maksym Voznyy # selected by CADO-NFS n: 1559673383770726504459806133944758299283041312004860853806684946107972896541146769042135553903511526124542131729613255111590421784565300572529785946281 Y0: -77409238828218301621757179940 Y1: 170768826932285704211 c0: -1527940596258794729414341268989120 c1: -77703553573773738853716419819 c2: -602601656095947031035640 c3: 1881240442213375071 c4: -4192673261820 c5: 11232000 skew: 240571.9213 type: gnfs [/code] |
C176
cofactor of (10^294+59)/3
[url]http://stdkmd.com/nrr/c.cgi?q=33353_294[/url] [code] # Murphy_E = 1.4731319e-13, selected by Maksym Voznyy # selected by CADO-NFS n: 10235447911693286894361436250139257413059459452694221167198579838312972327551536248033596903744681782028210404811406650623695899209645933840580372521243467792690591449037372557 Y0: -14292627482548595238971535818247866 Y1: 1995206437343323981969 c0: 2662818608301012981142868014625673268422516 c1: 100875531315238862517933045842371593 c2: -92755073497515681206140715596 c3: 217014195020717784827 c4: 247923631130100 c5: 514800 skew: 21272402.41438 type: gnfs [/code] |
C177
cofactor of (10^275+45*10^137-1)/9
[url]http://stdkmd.com/nrr/c.cgi?q=11611_137[/url] [code] # Murphy_E = 1.4481462e-13, selected by Maksym Voznyy # selected by CADO-NFS n: 135212718209477516092058510424086823963988067252308802359024307956481604558194695107810085728745892168528356099702363613821763401744575690195480286878613065471261450712490242087 Y0: -20099512602971300549147069369601488 Y1: 2810672963346142575929 c0: -5505513925928124069832882136401033121100 c1: -1232667726557610049376764386799388 c2: 4752421498852832808657495087 c3: 225760602947727768473 c4: -147215205525300 c5: 494640 skew: 6108293.90056 type: gnfs [/code] |
C153
cofactor of (68*10^220-23)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=75553_220[/URL] [code] # Murphy_E = 4.19888726e-12, selected by Maksym Voznyy # selected by CADO-NFS n: 118969465660728390114791989522216324142883714280523500332017172682375137632794684310715857521033071596250736733873913134834157379221569758497816254738323 Y0: -338157816443571072469153672293 Y1: 42091912653152091743 c0: -39231750342208826961603382470130096 c1: -64076614498490031184722261182 c2: 186798238503509433807717 c3: 215424459001640 c4: 203513613202 c5: 26880 skew: 1355486.28293 type: gnfs [/code] |
C149
cofactor of (56*10^225-11)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=62221_225[/URL] [code] # Murphy_E = 7.9121581e-12, selected by Maksym Voznyy # selected by CADO-NFS n: 10594423576158787515057409803875142903650526294261312124204266809579220286302103875278901786296868537036771349605574221596653468927129905817557228809 Y0: -29302601890012577399484501929 Y1: 2624073984810846953 c0: -120682453454540196297257482970660 c1: 4183908503279613243490599781 c2: -39079077283597212767269 c3: 712457257021237919 c4: 2526671108184 c5: 1470960 skew: 279830.56019 type: gnfs [/code] |
C163
cofactor of (46*10^232+71)/9
[url]http://stdkmd.com/nrr/c.cgi?q=51119_232[/url] [code] # Murphy_E = 1.02225623e-12, selected by Maksym Voznyy # selected by CADO-NFS n: 1135717222872695914833601431830486930493058672215480659467382326629280853821335572178633152586816064866001366680941128031557496355929646876590075858954216881523437 Y0: -19939409908118973828960587147509 Y1: 274165107360755875721 c0: -280275624843600959195849096383537180 c1: 1831596648368359784261275579639 c2: -11778675710562569407577285 c3: -16169455415768171534 c4: -47097348229904 c5: 10090080 skew: 813135.74686 type: gnfs [/code] |
C147
cofactor of (10^215+54*10^107-1)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=11711_107[/URL] [code] # Murphy_E = 1.0336513e-11, selected by Maksym Voznyy # selected by CADO-NFS n: 130799825018397797215018455553774430059057837719630188008662807162947234621739710294894131124868317856548934227104308845558087836853159465065775387 Y0: -16260565263911248101946547970 Y1: 9488925722840394211 c0: 2129714545498080153070085763286684 c1: 27962242826368743688069305957 c2: 19816266143315489082400 c3: -523934580495492321 c4: -64063679000 c5: 230160 skew: 507636.01471 type: gnfs [/code] |
C176
cofactor of (10^294+59)/3
[URL]http://stdkmd.com/nrr/c.cgi?q=33353_294[/URL] [code] # Murphy_E = 1.63103316e-13, selected by Maksym Voznyy # selected by CADO-NFS n: 10235447911693286894361436250139257413059459452694221167198579838312972327551536248033596903744681782028210404811406650623695899209645933840580372521243467792690591449037372557 Y0: -6355980889530395655724935195585761 Y1: 8229486707362208617907 c0: 2118733636770232243231531260414882909060 c1: 7064333007831567493474277241867957 c2: -6499454370015767508840069542 c3: -1568222956904893519559 c4: 309208447723820 c5: 19734000 skew: 4310219.14827 type: gnfs [/code] |
C163
cofactor of (46*10^232+71)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=51119_232[/URL] [code] # Murphy_E = 1.0957317e-12, selected by Maksym Voznyy # selected by CADO-NFS n: 1135717222872695914833601431830486930493058672215480659467382326629280853821335572178633152586816064866001366680941128031557496355929646876590075858954216881523437 Y0: -21089441601987808255876396159193 Y1: 156104826651133237621597 c0: 37935868804492263313210518611187461484 c1: -2357065273738975830854069134302 c2: -74920146007868804414666859 c3: 27965722531942897477 c4: 13354899572270 c5: 2622000 skew: 1956726.50021 type: gnfs [/code] |
C174
cofactor of (10^283+179)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=11131_283[/URL] [code] # Murphy_E = 2.0095507e-13, selected by Maksym Voznyy # selected by CADO-NFS n: 179213135200019576698363753593816619529017004843856139167224944760559286533303483309358051070109231059582251156386473026660248331197388894461081047105057166108135152064600863 Y0: -3235508949918997376540722683237575 Y1: 497036865870312941487487 c0: 481249864292311113922261261951428717540 c1: -418513812515152272299781968528667 c2: -936992402329937059908716346 c3: 79385320444353079391 c4: 34170049279780 c5: 5049000 skew: 3312222.03092 type: gnfs [/code] |
C156
cofactor of (65*10^224-11)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=72221_224[/URL] [code] # Murphy_E = 2.893e-12, selected by Maksym Voznyy # selected by CADO-NFS, optimized by Msieve n: 100348165457523875620583327065759636309977943485970000998614554199192769989783748343858112466948183018770383331122996208373441091683112570123254030207024287 Y0: -907038460976205323854057315179 Y1: 168696065557526304397 c0: -1734820246811567214993543667781781720 c1: 2002889843351901242762593018034 c2: 6600559299434258292348633 c3: -3335583908699717201 c4: -5532259949886 c5: 981720 skew: 1214877.42 type: gnfs [/code] |
C195
cofactor of 148^83+83^148
[URL]http://factordb.com/index.php?id=1100000000408940591[/URL] [code] Y0: -66639466470090969807796083294200781193 Y1: 34237568437838650288907 c0: -20651639625122894646111316805227359185476502909040 c1: 218676039845425136144283051205405397193958 c2: 1734492569001794961072674562370809 c3: -1253915992353438586882365 c4: 1346104891740278 c5: 580680 skew: 855847222.06577 # lognorm 64.61, E 55.53, alpha -9.08 (proj -1.68), 3 real roots # MurphyE = 8.04421531e-15 [/code] |
C186
cofactor of 122!+1
firejuggler's poly optimized by CADO: [code] Y0: -1120721953096337690729814816210418633 Y1: 39537117065588599 c0: -19915563045755474324326406461641625958144462060 c1: 347459038407464984975683693243757916832 c2: 6554574636617728254677395875855 c3: -21598936634326279458906 c4: -207760028429664 c5: 154980 skew: 198080037.17969 # alpha -7.47 (proj -2.13), 5 real roots # MurphyE = 3.38551837e-14 [/code]and confirmed by Msieve: [code] Msieve v. 1.53 (SVN 967) R0: -1120721953096657257978977605163384918 R1: 39537117065588599 A0: -22285250062042302945161953213256969834156883315 A1: 237710461847366170158060246031441021132 A2: 6996052291018186461263729319825 A3: -14780627370881748322866 A4: -214023324283164 A5: 154980 skew 197258657.77, size 3.020e-018, alpha -7.470, combined = 3.386e-014 rroots = 5 [/code] |
VBcurtis, credit us both if can for the c186
|
[QUOTE=firejuggler;457227]VBcurtis, credit us both if can for the c186[/QUOTE]
When I finally sit down to update all hundred or so of Max's polys, I'll be making a list of best msieve polys and best CADO. So, this C186 will go on both lists, and you'll each be credited. Once the lists are created, we can see where CADO has the biggest advantage over msieve, among other useful comparisons. |
C207
cofactor of ? (ask wombatman)
[URL]http://factordb.com/index.php?id=1100000000900919048[/URL] degree 5 (wombatman+CADO) [URL]http://www.mersenneforum.org/showpost.php?p=456260&postcount=827[/URL] [code] # norm 2.865842e-020 alpha -7.774942 e 1.627e-015 rroots 3 skew: 340123234.89 c0: 571991564598637896614710101239020638310733930025 c1: 167700052788587220002691890175305892882498 c2: 6476627046873628489030255421467789 c3: -13678387964207629928614248 c4: 17897969236909044 c5: 22320144 Y0: 6068679638793281991245086507839408878726 Y1: -39500688790939641031 [/code]degree 6 (firejuggler+CADO) [URL]http://www.mersenneforum.org/showpost.php?p=456646&postcount=845[/URL] [code] # norm 5.988245e-015 alpha -10.074812 e 1.568e-015 rroots 6 skew: 6087156.55 c0: -27818207317903532217108003314322004809855567765 c1: -14008456245406788589866531861575554317624 c2: 21085361375389709400077567281343009 c3: 2269491655645290867255498651 c4: -1821830432093170512984 c5: -41420978601875 c6: 601692 Y0: -2594969778889890640892269569504886 Y1: 995648353094895065 [/code] |
[QUOTE=Max0526;457282]cofactor of ? (ask wombatman)
[URL]http://factordb.com/index.php?id=1100000000900919048[/URL] [/QUOTE] Cofactor of Home Primes Base 2 4496 index number 310. :smile: |
chart update
@VBCurtis
It is a mixed (Msieve + CADO) chart update just for your reference. [url]https://mega.nz/#!TgwAQISS!FbIbDUL6SeRMIf7It8q5YzDogxlpqHCLeSYdNFaeuEA[/url] [code] Digits Score Found by Date Number 145 1.394e-11 fivemack 04-16 ? 146 1.232e-11 Max0526 02-17 (136*10^208-1)/9 147 1.034e-11 Max0526 03-17 (10^215+54*10^107-1)/9 148 9.335e-12 Max0526 02-17 (59*10^229+13)/9 149 7.912e-12 Max0526 03-17 (56*10^225-11)/9 150 6.74e-12 chris2be8 02-14 572000:3135 151 5.781e-12 Max0526 02-17 (82*10^245+17)/9 152 5.193e-12 fivemack 04-16 ? 153 4.199e-12 Max0526 03-17 (68*10^220-23)/9 154 3.821e-12 Max0526 02-17 (17*10^222-53)/9 155 3.33e-12 Max0526 02-17 10^229-11 156 2.893e-12 Max0526 03-17 (65*10^224-11)/9 157 2.776e-12 Max0526 02-17 (49*10^243-31)/9 158 2.430e-12 Max0526 02-17 (86*10^228-23)/9 159 2.051e-12 fivemack 04-16 ? 160 1.656e-12 Max0526 02-17 (13*10^242-31)/9 161 1.635e-12 unconnected 02-16 933436:12438 162 1.238e-12 Max0526 02-17 (7*10^247-367)/9 163 1.096e-12 Max0526 03-17 (46*10^232+71)/9 164 9.26e-13 VBCurtis 01-16 13*2^797-1 165 8.102e-13 unconnected 02-16 842592:8014 166 7.11e-13 chris2be8 04-14 3408:1399 167 6.902e-13 fivemack 04-16 ? 168 5.32e-13 sashamkrt 10-13 xyyx130_119 169 4.132e-13 fivemack 04-16 ? 170 3.910e-13 RichD 02-16 P226+1 (wblipp) 171 3.730e-13 Max0526 02-17 (4*10^261-13)/9 172 3.338e-13 Max0526 12-16 13*2^905-1 173 2.523e-13 fivemack 09-16 3366:2142 174 2.010e-13 Max0526 03-17 (10^283+179)/9 175 1.800e-13 fivemack 04-16 ? 176 1.631e-13 Max0526 03-17 (10^294+59)/3 177 1.448e-13 Max0526 03-17 (10^275+45*10^137-1)/9 178 1.194e-13 fivemack 04-16 ? 184 4.32e-14 wombatman 08-15 125!+1 186 3.386e-14 firejuggler+CADO 04-17 122!+1 190 2.221e-14 frmky+CADO 09-16 7,401- 191 1.581e-14 Max0526 07-16 10,429- 192 1.698e-14 Max0526 09-16 5,485+ 194 1.221e-14 fivemack 04-16 ? 195 8.044e-15 Max0526 03-17 148^83+83^148 196 8.164e-15 frmky+CADO 09-16 5,1085L 197 7.240e-15 Max0526 09-16 10,325+ 198 7.15e-15 Gimarel 01-16 E-M 199 5.111e-15 Max0526 10-16 10,515+ 207_5 1.627e-15 wombatman+CADO 04-17 Cofactor of Home Primes Base 2 4496 index number 310 207_6 1.568e-15 firejuggler+CADO 04-17 Cofactor of Home Primes Base 2 4496 index number 310 216_6 4.66e-16 frmky 08-13 3,766+ 216_5 3.61e-16 Gimarel 08-13 3,766+ 221_6 3.36e-16 Gimarel 12-13 3,697+ [/code] |
Thank you very much for the chart!!! I'm racing this weekend, but I should be able to use this to create the pair of charts I desire Monday or Tuesday.
|
The 1.194e-13 178-digit result was for the cofactor of aliquot 8352 step 1764 (log=177.09)
The 1.800e-13 175-digit result was for the cofactor of aliquot 8352 step 1769 (log=174.78) The 4.132e-13 169-digit result was for the cofactor of aliquot 3270 step 695 (log=168.73) The 6.902e-13 167-digit result was for the cofactor of aliquot 8154 step 2379 (log=166.43) The 2.051e-12 159-digit result was for the cofactor of aliquot 9436 step 1335 (log=158.04) I have just found a 4.113e-13 for a2360.1675 (log=168.77) My slight concern with tables of records is that, after a while, they will be recording mostly cases of people who've done too much polynomial selection: my 4.113 came from 9.6 million CPU-seconds of polsel, whilst it shouldn't take more than 35 million CPU-seconds to sieve on the same hardware. If I threw 128 CPU-weeks of msieve at some random C150 I could get an unassailably large entry in the table, but it would be strikingly useless. |
C182 from Aliquot sequence 933436:12513
[CODE]# norm 9.689461e-18 alpha -8.261335 e 6.014e-14 rroots 5 skew: 63450379.40 c0: -171435275516239348090954525698803141073874764 c1: 20523760714666527829906449528776737864 c2: 1880027096072103711870984029195 c3: -92922022610857475557280 c4: -495155661870756 c5: 754416 Y0: -123316037111279143281940425631553005 Y1: 2052963013783715773 [/CODE] |
C181 from 3366:2124
[CODE]Thu Mar 31 04:13:47 2016 R0: -43609006827127633229968650474586587 Thu Mar 31 04:13:47 2016 R1: 30695282756017099 Thu Mar 31 04:13:47 2016 A0: -29103488581110291761470265464081501440963200 Thu Mar 31 04:13:47 2016 A1: 2993874746608901791828362969242757760 Thu Mar 31 04:13:47 2016 A2: 755756990971875242506513249346 Thu Mar 31 04:13:47 2016 A3: -2594415869184082734595 Thu Mar 31 04:13:47 2016 A4: -688441371089106 Thu Mar 31 04:13:47 2016 A5: 9815400 Thu Mar 31 04:13:47 2016 skew 27455029.29, size 1.065e-17, alpha -7.794, combined = 7.362e-14 rroots = 3 [/CODE] |
C173
C173_130_129 by swellman's request
Found by CADO-NFS, optimized by Msieve [code] n: 12943490163899842800202807808563517677179129369217866856794847025883663552804850369692061096437966431056254749174584130929481762886801341603554776086080941421222438047588701 Y0: -2314093965309990903135234813960467 Y1: 2512273913966851261789 c0: -8462437386056646112680224420839599115776 c1: 10997372261995056796792168726037808 c2: 2165078146665064726520117240 c3: -74627684218946321311 c4: -9006531480082 c5: 195060 skew 14985693.28, size 8.218e-017, alpha -5.665, combined = 2.579e-013 rroots = 5 [/code] |
C150
chris2be8's poly (572000:3135, [URL]http://www.mersenneforum.org/showpost.php?p=365863&postcount=395[/URL]) optimized by CADO:
[code] n: 178840658547056398340661035575701801836589428489697812907837151638999043827732425417122362163295769975015657207507501412348850500995123605989554924733 Y0: -135858192307790840273969982972 Y1: 570849297736093 c0: 1643980082281399683050813997173432365 c1: 5927315077145304592680838374047 c2: 1141628259420241069559409 c3: -1020260890681555799 c4: -33414674686 c5: 3864 skew: 5634722.38124 # lognorm 46.22, E 39.11, alpha -7.10 (proj -1.76), 5 real roots # MurphyE=6.940e-12 [/code] |
C181
wombatman's poly via PM:
[code] n: 1231821452061950237530919744430241532994692618919738956119886191151063594613358963841640963773350689768896160865154453581941541630638074396744694489957268339201451399355814523520283 R0: -70108419896313411533408862388542677 R1: 10591976477210123 A0: 4939055050442425955439652118236542439461254700 A1: 13600752217009344448310033829110047310 A2: -2321123572444702694783022432428 A3: -22840646084593908802465 A4: 211416855324726 A5: 727272 skew 123515293.34, size 1.190e-017, alpha -8.906, combined = 7.874e-014 rroots = 3 [/code] |
C208
cofactor of (64*10^329-1)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=71111_329[/URL] [code] # Murphy_E = 1.439e-15, selected by Erik Branger # Polynomial selection took 4 months on a GTX760 n: 1122306776491337588607322631818708778200214577213206237089370253284687138834200770294167044440649977604444005064220843458726284245767449140856119245849745806395315477933380280425456889166505800707705642211253 Y0: -4842112079991293167491670985200158992968 Y1: 4692246580297096789 c0: 192558034193459742319046371398586259699707875364425 c1: 5387479895042599888816938205129089277819185 c2: -1098937059524264818729815697407187 c3: -104048030268009541344497393 c4: -47857156754642446 c5: 421635720 skew: 326211947.89 [/code] |
C204
cofactor of (64*10^335-1)/9
[URL]http://stdkmd.com/nrr/c.cgi?q=71111_335[/URL] [code] # Murphy_E = 2.611e-15, selected by Erik Branger # Polynomial selection took 3 months on a GTX760 n: 109171591085766696329154094898413102975244602654436063131236802577739018610372481766336529673096871219819082305153836057313909197892887464895177698907857683478715073482144332103260248475095490460103745877 Y0: -874787825966474636764651895639288018128 Y1: 7711155590735127311 c0: 7141196392545477230382872093858734437613258900875 c1: 209427097645347526234634345978136636660435 c2: -150871290860064104063428589267457 c3: -19921799259530980061064995 c4: 25303191192736094 c5: 213106152 skew: 167658719.81 [/code] |
C182
cofactor of (7*10^294-61)/9
[URL]http://stdkmd.com/nrr/cont/7/77771.htm#N294_C182[/URL] [code] # Murphy_E = 6.732e-14, selected by Erik Branger # Poly selection took 1 GPU-month with msieve on a GTX760. Searched leading coefficients 1 - 200 000. Second best polynomial had Murphy e 6.313e-014. n: 18675405572331560310583265774204505301415598498076656561422574471774037555350905938060807377546742508840495332996495761781590487724526878487239887588209751350338083828534569094229647 Y0: -262907824258932813360854376622286599 Y1: 12918700264242667541 c0: -31652508449192112444055628517754755088887425280 c1: 710622943245874510012084357262004430308 c2: 926076829723453969157641294892 c3: -16902794888899212983959 c4: -45854072328508 c5: 14868 skew: 363402240.79 [/code] |
C178
cofactor of (7*10^298-61)/9
[URL]http://stdkmd.com/nrr/cont/7/77771.htm#N298_C178[/URL] [code] # Murphy_E = 1.25e-13, selected by Erik Branger # Polynomial selection time: 600 hours using Msieve on a GTX760 n: 1238488528818798017939630111174764695113088368923635786619776774461606058505792266741768354784545999960737241087335728998585566827055960354605390239498033338214454303293341508533 Y0: -50007985164397411405521617904412092 Y1: 1632969483417250643 c0: 197461944301254587068536803545794403826093419 c1: -6045815115407106492956712565470778825 c2: -146820987061990775413353885317 c3: 1939789693626539622585 c4: 4802713372914 c5: 3960 skew: 165003214.73 [/code] |
C169
cofactor of 6*10^273-1
[URL]http://stdkmd.com/nrr/cont/5/59999.htm#N273_C169[/URL] by RSALS + Serge Batalov [code] n: 2652431486750286097666044412986594673070336013037435734459077515614249575320668054345891565002061132272527146562476263651355287602420041688921099981281684543398198368411 R0: -772976358027434400376082204372346 R1: 910258206911733379 A0: -38246169857652274587830882082172254186359125 A1: 1121196927112168218869288195074117015 A2: 104867904901495973390102738857 A3: -884471319272588883739 A4: -12068697784380 A5: 9612 skew 97144922.68, size 2.074e-16, alpha -8.738, combined = 4.326e-13 rroots = 5 [/code] |
C212
RSA-704
[URL]https://eprint.iacr.org/2012/369.pdf[/URL] by SHI BAI AND EMMANUEL THOMÉ AND PAUL ZIMMERMANN [code] n: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359 R0: -10040119372014939875708192394943108 R1: 1701314346829200310007393599 A0: 631618785519411550157074523461307229101210175 A1: 275791344247583495761263211927712634450 A2: -11187228497714282733145127980606483 A3: 931957113890545875115664715 A4: 1938361239259842311964 A5: 62813641710611 A6: 10614120 skew 2332416.43, size 2.402e-015, alpha -9.456, combined = 9.426e-016 rroots = 4 [/code] |
C210
RSA-210
[URL]http://www.mersenneforum.org/showpost.php?p=354259[/URL] by ryanp [code] n: 245246644900278211976517663573088018467026787678332759743414451715061600830038587216952208399332071549103626827191679864079776723243005600592035631246561218465817904100131859299619933817012149335034875870551067 R0: -8311128239923121259046301811046853 R1: 63190692009226810471 A0: -46373978032319633360321876974395396247530766893600 A1: 4926444336634688706035599320492329943566740 A2: 415031002380786834672968277117654072 A3: -35317070927593920606305065701 A4: -1333072472407237353592 A5: 44263602924186 A6: 744120 skew 21829368.04, size 3.501e-15, alpha -11.183, combined = 1.204e-15 rroots = 6 [/code] |
C153
cofactor of 434040:3059
[url]http://www.mersenneforum.org/showpost.php?p=466949&postcount=909[/url] by richs [code] # norm 1.215438e-014 alpha -5.992013 e 4.496e-012 rroots 5 n: 193772627436498719691399371635139917650415631165444129989632973066769346863702474240220073470345031874593997015736878532869569858946276674743265111984081 skew: 11059975.16 c0: 714364181918696418157020125640001905 c1: 10952754678896260587986816145552 c2: 2646592400904787922886346 c3: -419947073011879588 c4: -17998728499 c5: 540 Y0: -814666335894843441556680853706 Y1: 10374901361511881 [/code] |
C154
(not a record, my mistake)
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C165
cofactor of (34*10^236-7)/9
[url]http://factordb.com/index.php?id=1100000000583303989[/url] [url]http://stdkmd.com/nrr/c.cgi?q=37777_236[/url] [code] # Murphy_E = 8.53090237e-13, selected by Maksym Voznyy # selected by CADO-NFS; lognorm: 50.03, alpha: -6.68 (proj: -2.10), E: 43.36, nr: 3 n: 190999371374769990567169679785634304029054810939437612119082562487152753473568508069121243576880601102728957463172210507472286973634116487374558825601264531122768909 Y0: -72116415298183255817045850676196 Y1: 1346704612709324275133 c0: -6980903105363019450469286535170882700 c1: -110052072025994891905848159072775 c2: 2838244516700166889152188 c3: 4739570388586936095 c4: -977789603568 c5: 783360 skew: 3147038.346 type: gnfs [/code] |
c180
cofactor of 3408:1671
[URL]http://factordb.com/index.php?id=1100000000960775421[/URL] selected by CADO-NFS [code] n: 206126198520335998469134386020008749480733049152712107835914145741704733292914301600869914866579422918568099165679123078042285531615037983736118335674577501855025337380741475484791 Y0: -49737679034182624290841791985730141 Y1: 27672595519131845458109 c0: 2219849781219933688594222529717085731472640 c1: -271554560588094070095431200467698240 c2: -190982434081120390397977978648 c3: 7059677881789437129545 c4: 842795255774262 c5: 14220360 skew: 16095335.04878 # lognorm 56.65, E 48.89, alpha -7.77 (proj -2.70), 3 real roots # MurphyE = 8.72619934e-14 [/code] |
Just to fill in the gap in the table; here is a poly for the c149 cofactor of 6529^59-1.
[CODE]R0: -149556254781551014261354736958 R1: 11730155871184751 A0: 42741186048570255159903007583861298925 A1: 4209644426190763741440777376759 A2: -2350189023711363370713455 A3: -131754643072821427 A4: 29177915758 A5: 240 skew 10400424.38, size 2.300e-014, alpha -6.436, combined = 7.109e-012 rroots = 5[/CODE] |
C149
[QUOTE=lorgix;471260]Just to fill in the gap in the table; here is a poly for the c149 cofactor of 6529^59-1.
[CODE]R0: -149556254781551014261354736958 R1: 11730155871184751 A0: 42741186048570255159903007583861298925 A1: 4209644426190763741440777376759 A2: -2350189023711363370713455 A3: -131754643072821427 A4: 29177915758 A5: 240 skew 10400424.38, size 2.300e-014, alpha -6.436, combined = 7.109e-012 rroots = 5[/CODE][/QUOTE] Not the best score for C149 though. The best one so far is reported here: [URL]http://www.mersenneforum.org/showpost.php?p=457286&postcount=59[/URL] (149, 7.912e-12, Max0526, 03-17, (56*10^225-11)/9), originally from [URL]http://stdkmd.com/nrr/c.cgi?q=62221_225[/URL] and [URL]http://www.mersenneforum.org/showpost.php?p=454420&postcount=46[/URL]. |
Is there a chart that is up to date, or will there be one?
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Lorgix-
Perhaps at winter break. Once we had results for most size entries, the thread had served its purpose (providing target scores more realistic than msieve's estimates). So, I lost interest. I think Max posted a mostly-accurate chart a couple months ago, but I haven't updated in a year or more. Anyone can, the data is all in this thread! |
[QUOTE=fivemack;458492]The 1.194e-13 178-digit result was for the cofactor of aliquot 8352 step 1764 (log=177.09)
The 1.800e-13 175-digit result was for the cofactor of aliquot 8352 step 1769 (log=174.78) The 4.132e-13 169-digit result was for the cofactor of aliquot 3270 step 695 (log=168.73) The 6.902e-13 167-digit result was for the cofactor of aliquot 8154 step 2379 (log=166.43) The 2.051e-12 159-digit result was for the cofactor of aliquot 9436 step 1335 (log=158.04) I have just found a 4.113e-13 for a2360.1675 (log=168.77) My slight concern with tables of records is that, after a while, they will be recording mostly cases of people who've done too much polynomial selection: my 4.113 came from 9.6 million CPU-seconds of polsel, whilst it shouldn't take more than 35 million CPU-seconds to sieve on the same hardware. If I threw 128 CPU-weeks of msieve at some random C150 I could get an unassailably large entry in the table, but it would be strikingly useless.[/QUOTE] That's a good point. We already see the nice line that log(e-score) falls on when plotted against log(log(n)). So I guess this kind of table is already "just for fun". [QUOTE=VBCurtis;471328]Lorgix- Perhaps at winter break. Once we had results for most size entries, the thread had served its purpose (providing target scores more realistic than msieve's estimates). So, I lost interest. I think Max posted a mostly-accurate chart a couple months ago, but I haven't updated in a year or more. Anyone can, the data is all in this thread![/QUOTE] I understand. We'll see who gets to it first. I think I found a record; 547^97-1 (c151) [CODE]# norm 2.250160e-014 alpha -7.442564 e 6.423e-012 rroots 5 skew: 1576336.35 c0: -224892123760860127599655348688526705 c1: 2656807800756173903312494013874 c2: 1193061104863474198592747 c3: -2462504880291162356 c4: -482629274860 c5: 358800 Y0: -78619529763842715013646237482 Y1: 321544603785103 # norm 2.235836e-014 alpha -7.394872 e 6.391e-012 rroots 5 skew: 1513923.95 c0: 125503290026964733079026712104739775 c1: 2332576585400481642173343711810 c2: 1923497881118766401251019 c3: -2223929271425703796 c4: -668530730860 c5: 358800 Y0: -78619529797162453036273750754 Y1: 321544603785103[/CODE] Posting both because they are close and in a league of their own. For this number I found that reducing default stg1norm by a factor of about 10 (9.6~14.3 didn't make much difference) produced -nps hits at a nice rate. (Very much in line with what Curtis has suggested.) Probably because it was as loose as it could be without the GPU having to wait for the CPU very much. This was done with a Tesla M2050 and a 3770K (just barely overclocked (3.9), and somewhat busy with other tasks at the same time (msieve having higher priority)). |
337^107-1 (c169)
[CODE]# norm 2.533366e-016 alpha -7.481840 e 4.446e-013 rroots 3 skew: 11205760.32 c0: -81690765888701212192779918819233510331056 c1: 30263975410997972781178589601887820 c2: -418559681536534102425790 c3: -617271737090854076550 c4: -8536570103769 c5: 1612620 Y0: -273396355344645938020790224019355 Y1: 41238030906080357[/CODE] |
[QUOTE=lorgix;471475]That's a good point.
We already see the nice line that log(e-score) falls on when plotted against log(log(n)). So I guess this kind of table is already "just for fun". I understand. We'll see who gets to it first. I think I found a record; 547^97-1 (c151) [CODE]# norm 2.250160e-014 alpha -7.442564 e 6.423e-012 rroots 5 skew: 1576336.35 c0: -224892123760860127599655348688526705 c1: 2656807800756173903312494013874 c2: 1193061104863474198592747 c3: -2462504880291162356 c4: -482629274860 c5: 358800 Y0: -78619529763842715013646237482 Y1: 321544603785103 # norm 2.235836e-014 alpha -7.394872 e 6.391e-012 rroots 5 skew: 1513923.95 c0: 125503290026964733079026712104739775 c1: 2332576585400481642173343711810 c2: 1923497881118766401251019 c3: -2223929271425703796 c4: -668530730860 c5: 358800 Y0: -78619529797162453036273750754 Y1: 321544603785103[/CODE]Posting both because they are close and in a league of their own. For this number I found that reducing default stg1norm by a factor of about 10 (9.6~14.3 didn't make much difference) produced -nps hits at a nice rate. (Very much in line with what Curtis has suggested.) Probably because it was as loose as it could be without the GPU having to wait for the CPU very much. This was done with a Tesla M2050 and a 3770K (just barely overclocked (3.9), and somewhat busy with other tasks at the same time (msieve having higher priority)).[/QUOTE] CADO optimizes these polys a bit: [code] n: 1077716771708737183340860457188574541025402619131148434040051046114297574429192725186342646883142367258981585221196584917539077642715811408057416693097 Y0: -78619529722037093352526070937 Y1: 321544603785103 c0: -4936447502346974967017835975753520 c1: 2838431476497643514342070411984 c2: 191509051171781641885727 c3: -2652849866967553956 c4: -249382364860 c5: 358800 skew: 1590081.73888 # lognorm 46.88, E 39.42, alpha -7.46 (proj -2.67), 5 real roots # MurphyE = 6.44466287e-12 [/code] |
C184
Lucas number cofactor
[URL]http://factordb.com/index.php?id=1100000000454879007[/URL] [URL]http://factordb.com/index.php?query=L3865B[/URL] Found by CADO-NFS, optimized by Msieve By swellman's PM request [code] # norm 6.135551e-18 alpha -9.140155 e 4.696e-14 rroots 5 skew: 155081925.86 c0: 3258381761015893322703469355508610515519640008 c1: 994948670578842945305212888379095752533 c2: -11449251905133422400956610990120 c3: -69609283675092247656887 c4: 438761968162182 c5: 1519560 Y0: -510262266069797436279473833437161562 Y1: 3739355384257464468353 [/code] |
Attached, a 2017 list of best polys:
[code]Digits Score Found by Date Number 145 1.394e-11 fivemack 04-16 ? 146 1.232e-11 Max0526 02-17 (136*10^208-1)/9 147 1.034e-11 Max0526 03-17 (10^215+54*10^107-1)/9 148 9.335e-12 Max0526 02-17 (59*10^229+13)/9 149 7.912e-12 Max0526 03-17 (56*10^225-11)/9 150 6.74e-12 chris2be8 02-14 572000:3135 151 6.423e-12 lorgix 11-17 547^97-1 152 5.193e-12 fivemack 04-16 ? 153 4.496e-12 RichS 09-17 434040:3059 154 3.821e-12 Max0526 02-17 (17*10^222-53)/9 155 3.33e-12 Max0526 02-17 10^229-11 156 2.893e-12 Max0526 03-17 (65*10^224-11)/9 157 2.776e-12 Max0526 02-17 (49*10^243-31)/9 158 2.430e-12 Max0526 02-17 (86*10^228-23)/9 159 2.051e-12 fivemack 04-16 9436:1335 160 1.656e-12 Max0526 02-17 (13*10^242-31)/9 161 1.635e-12 unconnected 02-16 933436:12438 162 1.238e-12 Max0526 02-17 (7*10^247-367)/9 163 1.096e-12 Max0526 03-17 (46*10^232+71)/9 164 9.26e-13 VBCurtis 01-16 13*2^797-1 165 8.531e-13 Max0526 09-17 (34*10^236-7)/9 166 7.11e-13 chris2be8 04-14 3408:1399 167 6.902e-13 fivemack 04-16 8154:2379 168 5.32e-13 sashamkrt 10-13 xyyx130_119 169 4.446e-13 lorgix 11-17 337^107-1 170 3.910e-13 RichD 02-16 P226+1 (wblipp) 171 3.730e-13 Max0526 02-17 (4*10^261-13)/9 172 3.338e-13 Max0526 12-16 13*2^905-1 173 2.579e-13 Max0526 08-17 xyyx130_129 174 2.010e-13 Max0526 03-17 (10^283+179)/9 175 1.800e-13 fivemack 04-16 8352:1769 176 1.631e-13 Max0526 03-17 (10^294+59)/3 177 1.448e-13 Max0526 03-17 (10^275+45*10^137-1)/9 178 1.194e-13 fivemack 04-16 8352:1764 180 8.726e-14 Max0526 10-17 3408:1671 181 7.874e-14 wombatman 08-17 ? 182 6.732e-14 E. Branger 08-17 (7*10^294-61)/9 184 4.696e-14 Max0526 12-17 L3865B (msieve rootopt) 186 3.386e-14 firejuggler+CADO 04-17 122!+1 190 2.221e-14 frmky+CADO 09-16 7,401- 191 1.581e-14 Max0526 07-16 10,429- 192 1.698e-14 Max0526 09-16 5,485+ 194 1.221e-14 fivemack 04-16 ? 195 8.044e-15 Max0526 03-17 148^83+83^148 196 8.164e-15 frmky+CADO 09-16 5,1085L 197 7.240e-15 Max0526 09-16 10,325+ 198 7.15e-15 Gimarel 01-16 E-M 199 5.111e-15 Max0526 10-16 10,515+ 204 2.611e-15 E. Branger 08-17 (64*10^335-1)/9 207_5 1.627e-15 wombatman+CADO 04-17 Cofactor of Home Primes Base 2 4496 index number 310 207_6 1.568e-15 firejuggler+CADO 04-17 Cofactor of Home Primes Base 2 4496 index number 310 208_5 1.439e-15 E. Branger 08-17 (64*10^329-1)/9 210_6 1.204e-15 R. Propper 09-13 RSA-210 212_6 9.426e-16 Shi Bai et al 07-12 RSA-704 (CADO) 216_6 4.66e-16 frmky 08-13 3,766+ 216_5 3.61e-16 Gimarel 08-13 3,766+ 221_6 3.36e-16 Gimarel 12-13 3,697+[/code] I ignored some polys that were not used in factorizations; for instance, a previous record that Max ran through CADO to add a percent or two of score. I don't think applying current tools to previously run jobs adds to the table. One should assume all Max0526 records are CADO unless otherwise marked, likewise all other users are msieve unless otherwise marked. I look forward to trying a CADO search on deg 6; we simply need a worthy candidate! Wombatman, did your C207 ever get queued on Greg's 16e? |
[QUOTE=VBCurtis;478855]Attached, a 2017 list of best polys:
[code]Digits Score Found by Date Number 145 1.394e-11 fivemack 04-16 ? 146 1.232e-11 Max0526 02-17 (136*10^208-1)/9 147 1.034e-11 Max0526 03-17 (10^215+54*10^107-1)/9 148 9.335e-12 Max0526 02-17 (59*10^229+13)/9 149 7.912e-12 Max0526 03-17 (56*10^225-11)/9 150 6.74e-12 chris2be8 02-14 572000:3135 151 6.423e-12 lorgix 11-17 547^97-1 152 5.193e-12 fivemack 04-16 ? 153 4.496e-12 RichS 09-17 434040:3059 154 3.821e-12 Max0526 02-17 (17*10^222-53)/9 155 3.33e-12 Max0526 02-17 10^229-11 156 2.893e-12 Max0526 03-17 (65*10^224-11)/9 157 2.776e-12 Max0526 02-17 (49*10^243-31)/9 158 2.430e-12 Max0526 02-17 (86*10^228-23)/9 159 2.051e-12 fivemack 04-16 9436:1335 160 1.656e-12 Max0526 02-17 (13*10^242-31)/9 161 1.635e-12 unconnected 02-16 933436:12438 162 1.238e-12 Max0526 02-17 (7*10^247-367)/9 163 1.096e-12 Max0526 03-17 (46*10^232+71)/9 164 9.26e-13 VBCurtis 01-16 13*2^797-1 165 8.531e-13 Max0526 09-17 (34*10^236-7)/9 166 7.11e-13 chris2be8 04-14 3408:1399 167 6.902e-13 fivemack 04-16 8154:2379 168 5.32e-13 sashamkrt 10-13 xyyx130_119 169 4.446e-13 lorgix 11-17 337^107-1 170 3.910e-13 RichD 02-16 P226+1 (wblipp) 171 3.730e-13 Max0526 02-17 (4*10^261-13)/9 172 3.338e-13 Max0526 12-16 13*2^905-1 173 2.579e-13 Max0526 08-17 xyyx130_129 174 2.010e-13 Max0526 03-17 (10^283+179)/9 175 1.800e-13 fivemack 04-16 8352:1769 176 1.631e-13 Max0526 03-17 (10^294+59)/3 177 1.448e-13 Max0526 03-17 (10^275+45*10^137-1)/9 178 1.194e-13 fivemack 04-16 8352:1764 180 8.726e-14 Max0526 10-17 3408:1671 181 7.874e-14 wombatman 08-17 ? 182 6.732e-14 E. Branger 08-17 (7*10^294-61)/9 184 4.696e-14 Max0526 12-17 L3865B (msieve rootopt) 186 3.386e-14 firejuggler+CADO 04-17 122!+1 190 2.221e-14 frmky+CADO 09-16 7,401- 191 1.581e-14 Max0526 07-16 10,429- 192 1.698e-14 Max0526 09-16 5,485+ 194 1.221e-14 fivemack 04-16 ? 195 8.044e-15 Max0526 03-17 148^83+83^148 196 8.164e-15 frmky+CADO 09-16 5,1085L 197 7.240e-15 Max0526 09-16 10,325+ 198 7.15e-15 Gimarel 01-16 E-M 199 5.111e-15 Max0526 10-16 10,515+ 204 2.611e-15 E. Branger 08-17 (64*10^335-1)/9 207_5 1.627e-15 wombatman+CADO 04-17 Cofactor of Home Primes Base 2 4496 index number 310 207_6 1.568e-15 firejuggler+CADO 04-17 Cofactor of Home Primes Base 2 4496 index number 310 208_5 1.439e-15 E. Branger 08-17 (64*10^329-1)/9 210_6 1.204e-15 R. Propper 09-13 RSA-210 212_6 9.426e-16 Shi Bai et al 07-12 RSA-704 (CADO) 216_6 4.66e-16 frmky 08-13 3,766+ 216_5 3.61e-16 Gimarel 08-13 3,766+ 221_6 3.36e-16 Gimarel 12-13 3,697+[/code] I ignored some polys that were not used in factorizations; for instance, a previous record that Max ran through CADO to add a percent or two of score. I don't think applying current tools to previously run jobs adds to the table. One should assume all Max0526 records are CADO unless otherwise marked, likewise all other users are msieve unless otherwise marked. I look forward to trying a CADO search on deg 6; we simply need a worthy candidate! Wombatman, did your C207 ever get queued on Greg's 16e?[/QUOTE] Surely msieve and CADO should be kept in different [STRIKE]tables[/STRIKE] columns? The last few posts here alone show they remain not directly comparable. For the same poly, you and Max have scores that differ by two orders of magnitude. |
As far as I know, all CADO scores in the table are those computed using the regular Murphy E-score, not the one the current CADO tools report. I think Max has been aiming msieve at CADO polys to read E-scores, but perhaps he has a more elegant way.
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C202 cofactor from 139!+1 : 3.405e-15 (best-sieving polynomial, currently sieving on 176 threads); 3.665e-15 best-scoring polynomial
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[QUOTE=VBCurtis;478855]I look forward to trying a CADO search on deg 6; we simply need a worthy candidate! Wombatman, did your C207 ever get queued on Greg's 16e?[/QUOTE]
Yes, it did. They chose 207_5 to do the job: [URL]https://pastebin.com/RFkgXQj7[/URL] |
[QUOTE=VBCurtis;478860]As far as I know, all CADO scores in the table are those computed using the regular Murphy E-score, not the one the current CADO tools report. I think Max has been aiming msieve at CADO polys to read E-scores, but perhaps he has a more elegant way.[/QUOTE]
Click on [URL]http://myfactors.mooo.com/[/URL], scroll down to "Optimal Skew", input your c0-c6, Y0, Y1, and click "Submit". It finds an optimal skew with a proper msieve score. Very rarely it doesn't work, then I manually find an optimal skew using msieve. In any case, all my scores in the table are proper msieve scores. Kudos to Jonathan Crombie for all the tools and links on his page! |
[QUOTE=Max0526;478961]Click on [URL]http://myfactors.mooo.com/[/URL], scroll down to "Optimal Skew", input your c0-c6, Y0, Y1, and click "Submit". It finds an optimal skew with a proper msieve score. Very rarely it doesn't work, then I manually find an optimal skew using msieve. In any case, all my scores in the table are proper msieve scores.
Kudos to Jonathan Crombie for all the tools and links on his page![/QUOTE] Thanks, Max! I used this to find scores for the polys I posted in the 3408 Aliquot thread. |
C192
[QUOTE=Max0526;452836]cofactor of 5,485+
[URL]http://www.mersenneforum.org/showpost.php?p=442264&postcount=689[/URL] [URL]http://pastebin.com/MvCekKbG[/URL] selected by CADO-NFS [code] Msieve v. 1.53 (SVN 993M) factoring 159606844777486996622001493248676781253657446160340103919763525855973407957438040283455724644299994710800278969793293354792687084555688685456352819684945756597119754044342907824786336052619581 (192 digits) R0: -11223325240205109992788983735570908718 R1: 7795093661095776174539 A0: 4798173127422106445769476004221526210702741745 A1: -179763441456522808486319960507175658459 A2: -7935748430535924107883194070573 A3: 12215109140753003345515 A4: 190922679292724 A5: 896280 skew 123369921.06, size 9.514e-19, alpha -7.132, combined = 1.698e-14 rroots = 3 [/code][/QUOTE] I knew it's possible! I just created a better poly feeding a modified old one into msieve. No CADO involved (yet). Record table watch out! [code] R0: -11223325529762009907067434824924456973 R1: 38975468305478880872695 A0: -1514518367714714955720866301348016276662780800 A1: -35349781178566549344622401776101719896 A2: -327028817667762419885961731106 A3: -757170459840246098161 A4: 24456393229724 A5: 4481400 skew 68370333.02, size 9.721e-019, alpha -7.308, combined = 1.746e-014 rroots = 1 [/code] |
C192
And again!
[code] R0: -11223325453421617597428671394955959763 R1: 77950936610957761745390 A0: 27783598260081130372479440973889026902354850 A1: -9159631336468269776696062433039816503 A2: -165289140409452177595558890642 A3: -393636358509257942673 A4: 136688982351448 A5: 17925600 skew 26156805.15, size 1.002e-018, alpha -6.775, combined = 1.788e-014 rroots = 3 [/code] |
C192
CADO me this!
[code] n: 159606844777486996622001493248676781253657446160340103919763525855973407957438040283455724644299994710800278969793293354792687084555688685456352819684945756597119754044342907824786336052619581 Y0: -11223325920226202386889181099280996753 Y1: 77950936610957761745390 c0: -149080459310384195326342629598930509868009608 c1: -7224483001227665734696886927799553030 c2: -167302114110648019506246979335 c3: 2760523726076373743055 c4: -400043007596552 c5: 17925600 skew: 34185893.46989 # lognorm 58.65, E 51.17, alpha -7.48 (proj -2.05), 1 real root # MurphyE = 1.82458604e-14 [/code] |
I don't understand why you're trying to improve polys for numbers which have already been factored. A better poly is usually available from more effort; I don't see how your efforts are different from someone else spending another GPU-month to try to set a record.
We're not trying to set records for their own sake. We're trying to have a public record of scores folks actually achieve when doing factorizations, so others that come later have an idea of what to aim for (and thus how much more time they may wish to spend on poly select). Setting artificial records doesn't advance that reference data; it distorts things a bit, actually. |
C151
[QUOTE=lorgix;471475]
547^97-1 (c151) [CODE]# norm 2.250160e-014 alpha -7.442564 e 6.423e-012 rroots 5 skew: 1576336.35 c0: -224892123760860127599655348688526705 c1: 2656807800756173903312494013874 c2: 1193061104863474198592747 c3: -2462504880291162356 c4: -482629274860 c5: 358800 Y0: -78619529763842715013646237482 Y1: 321544603785103 # norm 2.235836e-014 alpha -7.394872 e 6.391e-012 rroots 5 skew: 1513923.95 c0: 125503290026964733079026712104739775 c1: 2332576585400481642173343711810 c2: 1923497881118766401251019 c3: -2223929271425703796 c4: -668530730860 c5: 358800 Y0: -78619529797162453036273750754 Y1: 321544603785103[/CODE][/QUOTE] The number is not factored yet. After scaling c5 down eight times and five core-minutes of root-opt in msieve: [code] R0: -157239059595365745954999879919 R1: 321544603785103 A0: 486932251726910818132684202688035400 A1: 4652665514158209904420697602158 A2: 1934285647017056314868987 A3: -1109795902278261578 A4: -167858579965 A5: 44850 skew 3029340.41, size 1.848e-014, alpha -7.394, combined = 6.459e-012 rroots = 5 elapsed time 00:04:44 [/code] Also, c5 mod 12 = 6 <> 0 (not a standard msieve or CADO step). |
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