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ECM results and reservations
I'll take C211_137_135 for ECM to t50.
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ECM reservations
ECM tests help us to find some relatively small factors. Usually we run GMP-ECM:
[url]https://gforge.inria.fr/projects/ecm/[/url] The most popular ECM tasks are: t55: 18000 curves at B1 = 110M t60: 42000 curves at B1 = 260M t65: 70000 curves at B1 = 850M It's strongly recommended to perform them sequentially (i.e. t60 only after t55). The numbers 55, 60, etc. estimate the size of the factors, e.g., t55 finds the most of factors up to 55-digit decimal length. Currently [url=http://www.rechenkraft.net/yoyo/]yoyo@home[/url] is performing t55: [url]http://www.rechenkraft.net/yoyo/download/download/stats/ecm/xy/wu_status[/url] Certain composites survived deeper ECM tests: [url]http://www.primefan.ru/xyyxf/status.html#work[/url] [url]http://www.mersenneforum.org/showthread.php?t=19352[/url] [url]http://www.mersenneforum.org/showthread.php?t=19353[/url] There's also a list of composites which need ECM to become feasible GNFS targets: [url]http://www.mersenneforum.org/showthread.php?t=20318[/url] Please take into account that information when choosing a number to be tested with ECM. If you find a factor fitting the [url=http://www.primefan.ru/xyyxf/records.html#ecm]Top-20 table[/url], please let us know the parameters of the lucky factorization (B1 and sigma values). |
Is there an ecmserver?
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It [url=http://www.primefan.ru/xyyxf/news.html#ecms]worked[/url] for nine years from March 2002 until May 2011. Then [url=http://www.rechenkraft.net/yoyo/]yoyo@home[/url] adopted some of its functions.
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ECM Results
ryanp found a [url=http://factordb.com/index.php?id=1000000000044729137]p58[/url]. It's in the top 10, so I've requested the parameters he used.
He's running the remaining cofactor as a GNFS job. |
C212_113_103
Someone found a [URL="http://factordb.com/index.php?query=113%5E103%2B103%5E113"]p54[/URL] and fully factored this composite.
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C200_150_148
I will take it up to t55.
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Maybe there's Ryan again? Unfortunately he doesn't inform us about his efforts :(
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[QUOTE=XYYXF;373873]Maybe there's Ryan again? Unfortunately he doesn't inform us about his efforts :([/QUOTE]
What about sending him an email? rpropper at stanford.edu (Ryan Propper) or rpropper at cs.stanford.edu |
I occasionally trade PMs with Ryan, but I did not have his email address. Thanks. I'll contact him directly.
It appears he (or someone) is running the list of composites to t55. Which is very cool, as long as we document it. A (dumb) question - is there an easy way to check the entire list of xyyxf composites against fdb to see if any others have been further factored over the years? I did a few cut/paste operations to find the factors discussed above, but that's not practical for almost 1200 composites. |
I heard from Ryan - thanks Carlos for his e-mail address.
He sends the following: [quote]I'm currently running ECM on the following others: 61360633774629616091.... (C191): 101^111 + 111^101 cofactor 28417942597163917291.... (C171): 107^111 + 111^107 cofactor 77215796253421280876.... (C200): 110^111 + 111^110 cofactor 20234429095044680925.... (C196): 89^112 + 112^89 cofactor 30346656057946828466.... (C210): 99^112 + 112^99 cofactor 23944615812601089637.... (C162): 78^113 + 113^78 cofactor 22006290398574795135.... (C185): 82^113 + 113^82 cofactor 23220853809120351143.... (C180): 85^113 + 113^85 cofactor 55073945672664882561.... (C168): 88^113 + 113^88 cofactor 45667518592748630156.... (C199): 92^113 + 113^92 cofactor 15126724016168709434.... (C205): 96^113 + 113^96 cofactor 94385034308959971307.... (C221): 100^113 + 113^100 cofactor 45981503153719989794.... (C187): 101^113 + 113^101 cofactor 12242314770708133797.... (C212): 102^113 + 113^102 cofactor 83028078013811481023.... (C198): 105^113 + 113^105 cofactor 86605203332969680264.... (C223): 107^113 + 113^107 cofactor 45455422131622754690.... (C223): 112^113 + 113^112 cofactor 97439042663037918249.... (C188): 89^114 + 114^89 cofactor 18512336433520902317.... (C174): 113^114 + 114^113 cofactor 58718611590521870571.... (C192): 79^115 + 115^79 cofactor 29886613171873547726.... (C210): 83^115 + 115^83 cofactor 35864182880741286844.... (C197): 87^115 + 115^87 cofactor 14522834247856712130.... (C300): 133^141 + 141^133 cofactor[/quote] This list does not address the other two composites mentioned earlier in this thread, so I've asked Ryan if they are his work or someone else. I assume he is running these to t55, but have also asked for confirmation. eta: Ryan confirms via log file that he factored C222_115_98 with SNFS, and it found two factors. Just coincidence they look like ECM hits. C212_113_103 is not Ryan's work. |
OK, so Ryan is running ECM from the beginning of the list.
I'll ask the yahoogroup about the factor of C212_113_103. [QUOTE=swellman;373661]ryanp found a [url=http://factordb.com/index.php?id=1000000000044729137]p58[/url]. It's in the top 10, so I've requested the parameters he used.[/QUOTE]Any news on this? :-) |
Which email did you use? Searching on the net I got one and the other when I downloaded his only published paper.
Carlos |
C180_113_85
[URL="http://factordb.com/index.php?id=1000000000044704137"]Ryan got another ECM hit last night[/URL].
[code] p55=3147338340962522193859417671504360408804629035144076603 prp125=73779337629201079638970735213279040782618848333915315535989579290477105672150340492628495885644789586039135727255124332389537 [/code] Log file follows. [code] GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 232208538091203511433479263637232992835875928608058388163922446696398868017947547734414969987523832105663716330853189933468225339546255485013954982344650287265561228560122363702811 (180 digits) Using MODMULN [mulredc:0, sqrredc:1] Using B1=10000000000, B2=480865327032108, polynomial Dickson(30), sigma=2498740899 dF=1048576, k=37, d=11741730, d2=19, i0=833 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 8 19 54 166 563 2060 8089 33826 149818 699537 Step 1 took 39796923ms Using 22 small primes for NTT Estimated memory usage: 4401M Initializing tables of differences for F took 6290ms Computing roots of F took 175615ms Building F from its roots took 92820ms Computing 1/F took 35985ms Initializing table of differences for G took 2340ms Computing roots of G took 141825ms Building G from its roots took 105496ms Computing roots of G took 141702ms Building G from its roots took 104437ms Computing G * H took 17932ms Reducing G * H mod F took 17880ms Computing roots of G took 140726ms Building G from its roots took 105888ms Computing G * H took 18486ms Reducing G * H mod F took 19099ms Computing roots of G took 139867ms Building G from its roots took 102305ms Computing G * H took 17879ms Reducing G * H mod F took 19196ms Computing roots of G took 126578ms Building G from its roots took 105091ms Computing G * H took 16109ms Reducing G * H mod F took 18999ms Computing roots of G took 133450ms Building G from its roots took 88222ms Computing G * H took 15575ms Reducing G * H mod F took 16229ms Computing roots of G took 110930ms Building G from its roots took 84265ms Computing G * H took 14960ms Reducing G * H mod F took 15813ms Computing roots of G took 96766ms Building G from its roots took 68521ms Computing G * H took 12515ms Reducing G * H mod F took 12752ms Computing roots of G took 86149ms Building G from its roots took 68619ms Computing G * H took 12596ms Reducing G * H mod F took 12732ms Computing roots of G took 85085ms Building G from its roots took 90819ms Computing G * H took 18072ms Reducing G * H mod F took 17293ms Computing roots of G took 131512ms Building G from its roots took 100001ms Computing G * H took 18346ms Reducing G * H mod F took 19079ms Computing roots of G took 132387ms Building G from its roots took 105646ms Computing G * H took 18255ms Reducing G * H mod F took 19066ms Computing roots of G took 138245ms Building G from its roots took 102644ms Computing G * H took 17426ms Reducing G * H mod F took 17097ms Computing roots of G took 139634ms Building G from its roots took 97643ms Computing G * H took 13205ms Reducing G * H mod F took 12813ms Computing roots of G took 83679ms Building G from its roots took 68566ms Computing G * H took 12619ms Reducing G * H mod F took 12911ms Computing roots of G took 85604ms Building G from its roots took 68261ms Computing G * H took 12754ms Reducing G * H mod F took 12525ms Computing roots of G took 84186ms Building G from its roots took 68882ms Computing G * H took 12901ms Reducing G * H mod F took 12805ms Computing roots of G took 85827ms Building G from its roots took 68737ms Computing G * H took 12615ms Reducing G * H mod F took 12589ms Computing roots of G took 85404ms Building G from its roots took 68851ms Computing G * H took 12682ms Reducing G * H mod F took 12681ms Computing roots of G took 85901ms Building G from its roots took 70937ms Computing G * H took 13106ms Reducing G * H mod F took 13325ms Computing roots of G took 86272ms Building G from its roots took 70308ms Computing G * H took 12774ms Reducing G * H mod F took 12785ms Computing roots of G took 86723ms Building G from its roots took 70164ms Computing G * H took 12936ms Reducing G * H mod F took 13973ms Computing roots of G took 87066ms Building G from its roots took 68863ms Computing G * H took 12241ms Reducing G * H mod F took 13536ms Computing roots of G took 86179ms Building G from its roots took 69124ms Computing G * H took 12701ms Reducing G * H mod F took 13348ms Computing roots of G took 86802ms Building G from its roots took 68399ms Computing G * H took 12443ms Reducing G * H mod F took 13170ms Computing roots of G took 86037ms Building G from its roots took 71390ms Computing G * H took 12608ms Reducing G * H mod F took 12559ms Computing roots of G took 88440ms Building G from its roots took 68900ms Computing G * H took 12230ms Reducing G * H mod F took 12851ms Computing roots of G took 86164ms Building G from its roots took 69198ms Computing G * H took 12901ms Reducing G * H mod F took 12808ms Computing roots of G took 85184ms Building G from its roots took 67994ms Computing G * H took 12559ms Reducing G * H mod F took 12727ms Computing roots of G took 87594ms Building G from its roots took 70975ms Computing G * H took 12780ms Reducing G * H mod F took 12872ms Computing roots of G took 87047ms Building G from its roots took 68989ms Computing G * H took 12359ms Reducing G * H mod F took 13145ms Computing roots of G took 87302ms Building G from its roots took 71201ms Computing G * H took 12399ms Reducing G * H mod F took 12979ms Computing roots of G took 88389ms Building G from its roots took 73333ms Computing G * H took 13164ms Reducing G * H mod F took 13396ms Computing roots of G took 90185ms Building G from its roots took 71686ms Computing G * H took 12933ms Reducing G * H mod F took 12751ms Computing roots of G took 86349ms Building G from its roots took 70566ms Computing G * H took 13478ms Reducing G * H mod F took 12693ms Computing roots of G took 88231ms Building G from its roots took 71169ms Computing G * H took 13167ms Reducing G * H mod F took 13283ms Computing roots of G took 88870ms Building G from its roots took 69863ms Computing G * H took 13160ms Reducing G * H mod F took 12900ms Computing polyeval(F,G) took 122817ms Computing product of all F(g_i) took 517ms Step 2 took 8143015ms ********** Factor found in step 2: 3147338340962522193859417671504360408804629035144076603 Found probable prime factor of 55 digits: 3147338340962522193859417671504360408804629035144076603 Probable prime cofactor 73779337629201079638970735213279040782618848333915315535989579290477105672150340492628495885644789586039135727255124332389537 has 125 digits [/code] |
[QUOTE=XYYXF;373921]
Any news on this? :-)[/QUOTE] Ryan found the ECM log file for the p58 of 113_110. [code] GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 4722327083806345240538876193424679739248140445654989253412260940268770946154191222341450243057590723087004929759494244824799575747891540981240490556365520826943047249230132095811681849281955828332745381935101 (208 digits) Using MODMULN [mulredc:0, sqrredc:2] Using B1=10000000000, B2=480865327032108, polynomial Dickson(30), sigma=626883630 dF=1048576, k=37, d=11741730, d2=19, i0=833 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 8 19 54 166 563 2060 8089 33826 149818 699537 Step 1 took 48715527ms Using 25 small primes for NTT Estimated memory usage: 4833M Initializing tables of differences for F took 4332ms Computing roots of F took 123378ms Building F from its roots took 77068ms Computing 1/F took 29209ms Initializing table of differences for G took 2146ms Computing roots of G took 101542ms Building G from its roots took 86190ms Computing roots of G took 100312ms Building G from its roots took 85641ms Computing G * H took 15376ms Reducing G * H mod F took 15899ms Computing roots of G took 100271ms Building G from its roots took 85825ms Computing G * H took 14938ms Reducing G * H mod F took 16113ms Computing roots of G took 99260ms Building G from its roots took 86236ms Computing G * H took 15124ms Reducing G * H mod F took 15785ms Computing roots of G took 101186ms Building G from its roots took 87420ms Computing G * H took 15691ms Reducing G * H mod F took 15958ms Computing roots of G took 102728ms Building G from its roots took 86454ms Computing G * H took 15215ms Reducing G * H mod F took 15884ms Computing roots of G took 100692ms Building G from its roots took 88879ms Computing G * H took 16229ms Reducing G * H mod F took 16862ms Computing roots of G took 109315ms Building G from its roots took 92571ms Computing G * H took 16544ms Reducing G * H mod F took 17889ms Computing roots of G took 104762ms Building G from its roots took 87590ms Computing G * H took 16117ms Reducing G * H mod F took 17097ms Computing roots of G took 116782ms Building G from its roots took 123936ms Computing G * H took 21340ms Reducing G * H mod F took 23446ms Computing roots of G took 161668ms Building G from its roots took 132968ms Computing G * H took 22788ms Reducing G * H mod F took 23915ms Computing roots of G took 161456ms Building G from its roots took 132264ms Computing G * H took 22840ms Reducing G * H mod F took 23876ms Computing roots of G took 161774ms Building G from its roots took 132791ms Computing G * H took 22805ms Reducing G * H mod F took 23550ms Computing roots of G took 161779ms Building G from its roots took 133246ms Computing G * H took 22898ms Reducing G * H mod F took 23850ms Computing roots of G took 161902ms Building G from its roots took 132760ms Computing G * H took 22709ms Reducing G * H mod F took 23858ms Computing roots of G took 161437ms Building G from its roots took 132527ms Computing G * H took 22807ms Reducing G * H mod F took 23953ms Computing roots of G took 162219ms Building G from its roots took 132311ms Computing G * H took 22839ms Reducing G * H mod F took 23979ms Computing roots of G took 162055ms Building G from its roots took 131496ms Computing G * H took 22866ms Reducing G * H mod F took 23998ms Computing roots of G took 161672ms Building G from its roots took 128372ms Computing G * H took 22833ms Reducing G * H mod F took 23974ms Computing roots of G took 118300ms Building G from its roots took 84172ms Computing G * H took 15396ms Reducing G * H mod F took 16475ms Computing roots of G took 102197ms Building G from its roots took 88900ms Computing G * H took 22938ms Reducing G * H mod F took 24114ms Computing roots of G took 154614ms Building G from its roots took 124276ms Computing G * H took 15695ms Reducing G * H mod F took 16124ms Computing roots of G took 102049ms Building G from its roots took 85534ms Computing G * H took 15084ms Reducing G * H mod F took 15796ms Computing roots of G took 114630ms Building G from its roots took 127237ms Computing G * H took 22547ms Reducing G * H mod F took 23598ms Computing roots of G took 110355ms Building G from its roots took 85988ms Computing G * H took 15504ms Reducing G * H mod F took 15868ms Computing roots of G took 102528ms Building G from its roots took 120905ms Computing G * H took 15451ms Reducing G * H mod F took 20193ms Computing roots of G took 149759ms Building G from its roots took 119274ms Computing G * H took 18090ms Reducing G * H mod F took 19706ms Computing roots of G took 148615ms Building G from its roots took 126411ms Computing G * H took 19281ms Reducing G * H mod F took 23763ms Computing roots of G took 154614ms Building G from its roots took 119456ms Computing G * H took 22292ms Reducing G * H mod F took 19512ms Computing roots of G took 153152ms Building G from its roots took 120736ms Computing G * H took 22507ms Reducing G * H mod F took 23898ms Computing roots of G took 127108ms Building G from its roots took 84550ms Computing G * H took 15856ms Reducing G * H mod F took 16128ms Computing roots of G took 100631ms Building G from its roots took 85127ms Computing G * H took 16027ms Reducing G * H mod F took 16358ms Computing roots of G took 101395ms Building G from its roots took 113691ms Computing G * H took 20271ms Reducing G * H mod F took 18471ms Computing roots of G took 102509ms Building G from its roots took 88772ms Computing G * H took 15734ms Reducing G * H mod F took 15915ms Computing roots of G took 104516ms Building G from its roots took 88051ms Computing G * H took 16282ms Reducing G * H mod F took 15581ms Computing roots of G took 101141ms Building G from its roots took 88243ms Computing G * H took 15233ms Reducing G * H mod F took 15619ms Computing roots of G took 101610ms Building G from its roots took 86846ms Computing G * H took 17392ms Reducing G * H mod F took 23243ms Computing polyeval(F,G) took 149115ms Computing product of all F(g_i) took 498ms Step 2 took 10361531ms ********** Factor found in step 2: 1244457861241399718708817251457371740613959777677533294251 Found probable prime factor of 58 digits: 1244457861241399718708817251457371740613959777677533294251 Composite cofactor 3794686209057832499066103238357317737754024669088074126498783161966294635906559590734359763354121052458303200655514043390944907137270566018879237903351 has 151 digits [/code] |
B1 = 10G. My God.
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:shock:
Well, he will probably find a lot of factors with that net... |
[QUOTE=XYYXF;373943]B1 = 10G. My God.[/QUOTE]
You are just a bit behind times. :ermm: 1-10G values [URL="http://www.loria.fr/~zimmerma/cgi-bin/last.cgi?date"]have been used[/URL] for year(s?) now (by people with infinite resources). |
Reserving C205_137_73 and C252_137_120. I'll take them to t50.
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[QUOTE=swellman;373373]I'll take C211_137_135 for ECM to t50.[/QUOTE]
Completed 7600 curves @B1=43M with no factors found. Releasing number. |
[QUOTE=swellman;374422]Reserving C205_137_73 and C252_137_120. I'll take them to t50.[/QUOTE]
C205_137_73 run for 7600 curves @B1=43M with no factors found. Releasing number. |
I will ECM C283_149_143, C211_137_36 and C211_137_53 to the t50 level.
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You mean C211_137_76? :)
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[QUOTE=XYYXF;375376]You mean C211_137_76? :)[/QUOTE]
Yes, my error. C211_137_[B]76[/B], as well as C283_149_143 and C211_137_53. FWIW, ECM of C200_150_148 and C252_137_120 should finish this week. No factors found so far... |
Running C204_115_88 to t50 (7600 curves at B1=43M)
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[QUOTE=wombatman;375607]Running C204_115_88 to t50 (7600 curves at B1=43M)[/QUOTE]
Wombatman - just a heads up that yoyo@Home has ECM'd that number to t50 already. They are running each composite to t50, by increasing x. [URL="http://www.rechenkraft.net/yoyo/download/download/stats/ecm/xy/wu_status"]The wavefront currently sits at x=134[/URL]. Pick another number to ECM, with say x>136. Or NFS a number. Or ECM a number to the t55 level (which is tedious but always welcome). |
Shoot. I checked the yoyo page and didn't find it on there, so I thought it hadn't been touched yet. Oh well. I'll take C175_136_61 to t50 then.
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[QUOTE=swellman;374422]Reserving C205_137_73 and C252_137_120. I'll take them to t50.[/QUOTE]
C252_137_120 run for 7600 curves @B1=43M with no factors found. Releasing number. |
7600 curves at B1=43M give no factors for C175_136_61.
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C200_150_148
[QUOTE=swellman;373865]I will take it up to t55.[/QUOTE]
Ran this for 18000 curves @B1=110M with no factors found. Releasing number. |
113_96 factored
Ryan has factored 113_96 into a p58 * p65 * p83.
See [URL]http://factordb.com/index.php?id=1000000000044715137[/URL]. The p58 was found by ECM, the rest by GNFS. I've requested the log file for the ECM run. |
[QUOTE=swellman;375345]I will ECM C283_149_143...to the t50 level.[/QUOTE]
C283_149_143 run for 7600 curves @B1=43M. No factors found. Releasing number. |
[QUOTE=swellman;376022]Ryan has factored 113_96 into a p58 * p65 * p83.
See [URL]http://factordb.com/index.php?id=1000000000044715137[/URL]. The p58 was found by ECM, the rest by GNFS. I've requested the log file for the ECM run.[/QUOTE] ECM log file follows. [code] [FONT=arial]GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM][/FONT] [FONT=arial]Input number is 151267240161687094342844516930[/FONT][FONT=arial]618033781312644828109746370932[/FONT][FONT=arial]383181544426526433180952356653[/FONT][FONT=arial]212581200862585860985506944513[/FONT][FONT=arial]141185286867440170432396699348[/FONT][FONT=arial]816089481808936037812958481736[/FONT][FONT=arial]7934737009870508346767231 (205 digits)[/FONT] [FONT=arial]Using MODMULN [mulredc:0, sqrredc:2][/FONT] [FONT=arial]Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1736500047[/FONT] [FONT=arial]dF=131072, k=4, d=1345890, d2=11, i0=71[/FONT] [FONT=arial]Expected number of curves to find a [/FONT][FONT=arial]factor[/FONT][FONT=arial] of n digits:[/FONT] [FONT=arial]35 40 45 50 55 60 65 70 75 80[/FONT] [FONT=arial]34 135 614 3135 17884 111314 752662 5482978 4.3e+07 3.6e+08[/FONT] [FONT=arial]Step 1 took 661049ms[/FONT] [FONT=arial]Using 25 small primes for NTT[/FONT] [FONT=arial]Estimated memory usage: 566M[/FONT] [FONT=arial]Initializing tables of differences for F took 487ms[/FONT] [FONT=arial]Computing roots of F took 22166ms[/FONT] [FONT=arial]Building F from its roots took 8893ms[/FONT] [FONT=arial]Computing 1/F took 3724ms[/FONT] [FONT=arial]Initializing table of differences for G took 346ms[/FONT] [FONT=arial]Computing roots of G took 15827ms[/FONT] [FONT=arial]Building G from its roots took 10623ms[/FONT] [FONT=arial]Computing roots of G took 15849ms[/FONT] [FONT=arial]Building G from its roots took 8667ms[/FONT] [FONT=arial]Computing G * H took 1794ms[/FONT] [FONT=arial]Reducing G * H mod F took 2296ms[/FONT] [FONT=arial]Computing roots of G took 16090ms[/FONT] [FONT=arial]Building G from its roots took 10072ms[/FONT] [FONT=arial]Computing G * H took 1986ms[/FONT] [FONT=arial]Reducing G * H mod F took 1913ms[/FONT] [FONT=arial]Computing roots of G took 15718ms[/FONT] [FONT=arial]Building G from its roots took 9355ms[/FONT] [FONT=arial]Computing G * H took 1826ms[/FONT] [FONT=arial]Reducing G * H mod F took 1934ms[/FONT] [FONT=arial]Computing polyeval(F,G) took 14499ms[/FONT] [FONT=arial]Computing product of all F(g_i) took 62ms[/FONT] [FONT=arial]Step 2 took 164614ms[/FONT] [FONT=arial]********** [/FONT][FONT=arial]Factor[/FONT][FONT=arial]found[/FONT][FONT=arial] in step 2: 732577863306628762486626098821[/FONT][FONT=arial]3923162387125986617707180257[/FONT] [FONT=arial]Found[/FONT][FONT=arial] probable prime [/FONT][FONT=arial]factor[/FONT][FONT=arial] of 58 digits: 732577863306628762486626098821[/FONT][FONT=arial]3923162387125986617707180257[/FONT] [FONT=arial]Composite cofactor 206486228615909565904829430181[/FONT][FONT=arial]076276136895100907803625146780[/FONT][FONT=arial]872755001481056384180130287527[/FONT][FONT=arial]931568093824658510414387889843[/FONT][FONT=arial]519932735417758011340018783 has 147 digits[/FONT] [/code] |
Reserving the following composites for ECM to t50
C211_148_116 C211_149_41 C211_149_66 C211_148_132 |
[QUOTE=swellman;375345]I will ECM...C211_137_76 and C211_137_53 to the t50 level.[/QUOTE]
Both numbers run for 7600 curves @B1=43M, with no factors found. Releasing numbers. Thanks. |
C211_149_41 factor
prp51 = 118671714253506293806214421648236802627617998799567
B1=43000000 sigma=3697783381 total of 772 curves run so far I will continue ECM up to the full t50 on the remaining C161. |
[QUOTE=swellman;376535]Reserving the following composites for ECM to t50
C211_148_116 C211_149_41 C211_149_66 C211_148_132[/QUOTE] C211_148_116 survived 7600 curves @B1=43M with no factors found. Releasing number. |
107^113 + 113^107 factored
Ryan just reported another ECM hit. See [url]http://factordb.com/index.php?id=1000000000044726137[/url] for the full factorization. Scary log file follows.
[code] GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 8660520333296968026466765229346235565748559024030231699271727214399902510243896807959331579004984928668557445761746606949540739300582755090331863570764560881327765427778585403516721734958090278881993236668181942831061757749 (223 digits) Using MODMULN [mulredc:2, sqrredc:2] Using B1=30000000000, B2=2287343438660298, polynomial Dickson(30), sigma=3690357484 dF=1048576, k=176, d=11741730, d2=19, i0=2536 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 6 14 35 100 311 1036 3684 13923 55617 233694 Step 1 took 161382809ms Using 27 small primes for NTT Estimated memory usage: 5209M Initializing tables of differences for F took 5689ms Computing roots of F took 149366ms Building F from its roots took 84675ms Computing 1/F took 32110ms Initializing table of differences for G took 4176ms Computing roots of G took 122402ms Building G from its roots took 101099ms Computing roots of G took 121003ms ... Reducing G * H mod F took 16847ms Computing roots of G took 118064ms Building G from its roots took 88965ms Computing G * H took 15694ms Reducing G * H mod F took 16243ms Computing polyeval(F,G) took 152948ms Computing product of all F(g_i) took 555ms Step 2 took 44233429ms ********** Factor found in step 2: 294951068738514887536552946855239450016709315051696527249 Found probable prime factor of 57 digits: 294951068738514887536552946855239450016709315051696527249 Probable prime cofactor 29362566375288648292115687567600143802366254515637240144576648329159724819719048203289914679709305876033996063505472236444945426410020476830954763880217173634509894501 has 167 digits [/code] |
I'd like to reserve the following for ECM to t50:
C239_150_41 C165_137_50 C282_140_137 C218_137_42 C175_137_48 Thanks. |
[QUOTE=swellman;376535]Reserving the following composites for ECM to t50
C211_148_116 [STRIKE]C211[/STRIKE]C161_149_41 C211_149_66 C211_148_132[/QUOTE] All have survived 7600 curves @B1=43M with no new factors found. Releasing numbers. |
C175_137_48 factored
ECM hit on the 7600th curve! The absolute last curve. Patience is a virtue after all...
prp51=111090281168868098837722942438483591759347786948097 B1=43000000 sigma=3132212140 eta: B2=240490660426 |
[QUOTE=swellman;377806]I'd like to reserve the following for ECM to t50:
C239_150_41 C165_137_50 C282_140_137 C218_137_42 [STRIKE]C175_137_48[/STRIKE][URL="http://factordb.com/index.php?query=137%5E48%2B48%5E137"]factored[/URL] Thanks.[/QUOTE] With the exception of C175_137_48, all of these have survived 7600 curves of ECM @B1=43M with no factors found. Releasing numbers. |
I would like to reserve the following numbers for ECM to t50:
C186_148_33 C216_150_44 C172_137_52 C202_138_41 C164_138_56 C178_140_114 |
C164_138_56 fully factored
[code]
p49=2241981785157541920039471348044414427337869377753 p115=4557980596387462355585858476686199843555788140547677025065122231157104799468776790779585825778858205844000297609717 [/code] Found by ECM with B1=43M, sigma=996836351. |
C172_137_52 fully factored (ECM)
[code]
prp50=18707689247839456906505134816365035418938549039207 prp123=533175364019426851566784062130620730504941930417861796334197389846322848064182012920430010608814229667051568506371571103927 [/code] B1=43000000 sigma=640925775 |
I would like to reserve the following numbers for ECM to t50:
C275_150_116 C189_137_47 C191_138_62 C203_137_127 Thanks. |
[QUOTE=swellman;379031]I would like to reserve the following numbers for ECM to t50:
C186_148_33 C216_150_44 [STRIKE]C172_137_52[/STRIKE] [URL="http://factordb.com/index.php?query=137%5E52%2B52%5E137"]factored[/URL] C202_138_41 [STRIKE]C164_138_56[/STRIKE] [URL="http://factordb.com/index.php?query=138%5E56%2B56%5E138"]factored[/URL] C178_140_114[/QUOTE] With the noted exceptions, these have survived 7600 curves @B1=43M with no factors found. Releasing. |
C189_137_47 factored
Nice quick hit.
[code] p47=79734934987736291968230830015711983392791666839 p142=1470547152040391914950392437242763053169211897009619791375786589869295331076566765629936882033617013779843969134170762193577043234857800012363 [/code] B1=43M sigma=78933972 |
[QUOTE=swellman;379659]I would like to reserve the following numbers for ECM to t50:
C275_150_116 [STRIKE]C189_137_47 [/STRIKE][URL="http://factordb.com/index.php?query=137%5E47%2B47%5E137"]factored[/URL] ...[/QUOTE] The above numbers have been factored or run to 7600 curves @B1=43M with no factor found. Releasing. ECM is still running on the other two composites C191_138_62 and C203_137_127. |
I'd like to reserve the following for ECM to the t50 level:
C267_144_142 C270_150_98 C282_148_141 C244_147_47 C173_139_59 C160_146_39 C162_148_35 Thanks. |
[QUOTE=swellman;380189]
ECM is still running on the other two composites C191_138_62 and C203_137_127.[/QUOTE] Ran 7600 curves @B1=43M on both of these with no factors found. Releasing both numbers. |
C162_148_35 factored
[code]
prp47 = 11630291587478122597246593430516414598813342419 prp116 = 65249703727802639162436181486831611312771031307691227449125457834575647081765525276931030168861832078300052095591691 [/code] B1=43M sigma=33866913 |
I would like to reserve the following for ECM to the t50 level
C236_138_109 C283_137_133 C159_142_55 Thanks. |
[QUOTE=swellman;380304]I'd like to reserve the following for ECM to the t50 level:
C267_144_142 C270_150_98 C282_148_141 C244_147_47 C173_139_59 C160_146_39 [STRIKE]C162_148_35[/STRIKE][URL="http://factordb.com/index.php?query=148%5E35%2B35%5E148"]fully factored[/URL] Thanks.[/QUOTE] With the noted exception, all of the above have survived ECM for 7600 curves @B1=43M with no factors found. Releasing numbers. |
C197_115_104 (t55)
I would like to reserve this composite for ECM to the t55 level. It will take a few weeks.
Thanks |
[QUOTE=swellman;381443]I would like to reserve the following for ECM to the t50 level
C236_138_109 C283_137_133 C159_142_55 [/QUOTE] All three survived 7600 curves @B1=43M, with no factors found. Releasing numbers. |
I would like to reserve the following for ECM to the t50 level:
C268_138_137 C284_142_105 Thanks! |
I would like to reserve these numbers for ECM to t50:
C282_149_95 C186_145_34 Also continuing this number up to full t55 C251_149_148 Thanks. |
[QUOTE=swellman;382644]I would like to reserve the following for ECM to the t50 level:
C268_138_137 C284_142_105 [/QUOTE] Both of these were run for 7600 curves @B1=43M with no factors found. Releasing numbers. |
[QUOTE=swellman;383714]I would like to reserve these numbers for ECM to t50:
C282_149_95 C186_145_34 [/QUOTE] Both of these numbers survived 7600 curves @B1=43M, with no factors found. Releasing. [QUOTE] Also continuing this number up to full t55 C251_149_148 Thanks.[/QUOTE] This job is underway. Worst case ETA is Oct 12. I would also like to reserve the following for ECM to the t50 level: C170_149_38 C174_139_129 C179_139_137 |
Done: [url]http://xyyxf.at.tut.by/status.html#0[/url]
|
C170_149_38 fully factored
[code]
prp48 = 109513927217395055602944649708688488254087751393 prp 123 = 185255627945355845408547663092528183165053404324736822979382448390513650395544463620545013781503685419643272197448349651799 [/code] Found by ECM with B1=43000000, sigma=28236724 |
I would like to reserve the following for ECM to t50:
C252_139_106 C166_148_128 C167_142_56 C179_139_61 Thanks. |
[QUOTE=swellman]
I would also like to reserve the following for ECM to the t50 level: [STRIKE]C170_149_38[/STRIKE][URL="http://www.mersenneforum.org/showpost.php?p=384571&postcount=23"]fully factored[/URL] C174_139_129 C179_139_137[/QUOTE] With the noted exception, these numbers have survived 7600 curves @B1=43M with no factors found. Releasing. |
[QUOTE=swellman;384572]I would like to reserve the following for ECM to t50:
C252_139_106 C166_148_128 C167_142_56 C179_139_61 [/QUOTE] All four of these survived 7600 curves at B1=43M, with no factors found. Releasing. |
Reserving C170_146_106 and C170_148_89 for ECM up to t50.
Thanks. |
C251_149_148 was run up to 18000+ curves @B1=110M. No factors found.
Releasing number. |
136_53
yoyo had previously [URL="http://www.rechenkraft.net/yoyo//y_factors_ecm.php"]found a p46[/URL], and I was just running the C175 cofactor to a full t50 when I got another hit.
prp49 = 2140191314183741473956617553596853790159107787453 B1=43000000, B2=default, sigma=2342141561 The remaining C126 should be factored later today. |
ECM reservations
I would like to reserve the following for ECM to t50:
C171_144_82 C171_148_49 C172_145_36 C192_139_44 C171_142_35 C189_139_46 C284_145_101 C283_143_116 C282_150_127 C283_149_99 C202_139_99 C208_139_42 C179_140_37 C185_140_124 Thanks. |
[QUOTE=swellman;385996]Reserving C170_146_106 and C170_148_89 for ECM up to t50.
Thanks.[/QUOTE] C170_146_106 survived ECM for 7600 curves @B1=43M with no factors found. Releasing number. C170_148_89 is fully factored. p50=41235153773568515587666784537538775322354065562327 Found with B1=43M, B2=default, sigma=2943686781 |
139_99 fully factored by ECM
P44=46179989640806660090793698831255392679168563
B1=43M, B2=default, sigma=3628598375 Results reported to fdb. |
C171_148_49 Fully Factored
prp42 = 748097686295182512225873256459597434500683
curve 49 stg2 B1=43000000 sigma=3032353074 Results reported to fdb. |
Update
[QUOTE=swellman;386966]I would like to reserve the following for ECM to t50:
C171_144_82 C171_148_49 - factored C172_145_36 C192_139_44 C171_142_35 C189_139_46 C284_145_101 C283_143_116 C282_150_127 C283_149_99 C202_139_99 - factored C208_139_42 C179_140_37 C185_140_124 - still working Thanks.[/QUOTE] As noted above, C185_140_124 is still working, and two composites have been factored and reported here and fdb. The remainder have undergone 7600 curves with B1=43M with no factors found. Releasing all but 140_124. Thanks. |
The pages are updated: [url]http://xyyxf.at.tut.by/status.html#0[/url]
There are chances to get the number of composites down to 1100 before 2015 :) |
ECM reservations
I would like to reserve the following for ECM to t50:
C175_142_50 C175_148_42 C188_140_116 C180_142_88 C196_150_104 C185_142_141 C172_148_59 Thanks. |
C180_142_88 fully factored
[code]
prp47 = 52064731365046263958190423021501914462341898913 (curve 1217 stg2 B1=43000000 sigma=784256727 thread=3) [/code] |
[QUOTE=swellman;389474]
C185_140_124 C175_142_50 C175_148_42 C188_140_116 [STRIKE]C180_142_88[/STRIKE] [URL="http://www.mersenneforum.org/showpost.php?p=390795&postcount=76"]fully factored[/URL] C196_150_104 C185_142_141 C172_148_59 [/QUOTE] With the noted exception, all numbers listed have withstood 7600 curves @B1=43M with no factors found. Releasing all. |
ECM Reservation
Reserving C226_150_82 and C190_142_136 for ECM to the t50 level.
Also reserving C206_115_106 for some ECM @B1=110M, with SNFS to follow (if needed) |
[QUOTE=swellman;390941]Reserving ... C190_142_136 for ECM to the t50 level[/QUOTE]
Fully factored on 30 Dec according to the logs p53=94229652213074081333805269096098518868530470143241777 B1=43M sigma=646429571 |
Reservation (ECM)
Taking all to t50 level.
C199_139_130 C195_148_98 C201_150_136 Thanks. |
C199_139_130 fully factored
[code]
p47=14314190396978063026174254047326805547953453089 p153=158561950953908977083130545694427760304966636023557652601423659030939322516630075622462082522785319519250730684518810206237600701490618234719404531935349 [/code] B1=43M sigma=1688326389 |
[QUOTE=swellman;390941]Reserving C226_150_82...for ECM to the t50 level.
[/QUOTE] Survived 7600 curves @B1=43M with no factors found - releasing. |
Reserving C248_150_106 and C249_150_79 for ECM to the t50 level.
|
[QUOTE=swellman;391710]Taking all to t50 level.
C195_148_98 C201_150_136 Thanks.[/QUOTE] Both passed 7600 curves @B1=43M with no factors found - releasing numbers. |
Reserving C180_143_45
Taking it to t50. Was just going to use it to test my ECM installation - but, since everything is behaving correctly I may as well make a contribution :smile: |
[QUOTE=Antonio;392652]Reserving C180_143_45
Taking it to t50. Was just going to use it to test my ECM installation - but, since everything is behaving correctly I may as well make a contribution :smile:[/QUOTE] [CODE] Sat 2015/01/17 01:44:50 UTC Run 5006 out of 7600: Sat 2015/01/17 01:44:50 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3536566311 Sat 2015/01/17 01:44:50 UTC Step 1 took 79623ms Sat 2015/01/17 01:44:50 UTC Step 2 took 27581ms Sat 2015/01/17 01:44:50 UTC ********** Factor found in step 2: 17210943401200940530024342408543448093694588575659 Sat 2015/01/17 01:44:50 UTC Found prime factor of 50 digits: 17210943401200940530024342408543448093694588575659 Sat 2015/01/17 01:44:50 UTC Composite cofactor 15162496783931999749661061881125472095509070674497634479567379135289638857558154731980945846528667587051347645387426314016970023323 has 131 digits [/CODE] Attempting to factor the C131 at the moment. |
Reserving C213_140_41 for ECM to the t50 level.
|
[QUOTE=Antonio;392690][CODE]
Sat 2015/01/17 01:44:50 UTC Run 5006 out of 7600: Sat 2015/01/17 01:44:50 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3536566311 Sat 2015/01/17 01:44:50 UTC Step 1 took 79623ms Sat 2015/01/17 01:44:50 UTC Step 2 took 27581ms Sat 2015/01/17 01:44:50 UTC ********** Factor found in step 2: 17210943401200940530024342408543448093694588575659 Sat 2015/01/17 01:44:50 UTC Found prime factor of 50 digits: 17210943401200940530024342408543448093694588575659 Sat 2015/01/17 01:44:50 UTC Composite cofactor 15162496783931999749661061881125472095509070674497634479567379135289638857558154731980945846528667587051347645387426314016970023323 has 131 digits [/CODE] Attempting to factor the C131 at the moment.[/QUOTE] C131 factors to: - [CODE] 01/19/15 17:45:09 v1.34.5 @ MESHGT, prp63 = 115372765968501503594820138975691717784571333593146352892707281 01/19/15 17:45:09 v1.34.5 @ MESHGT, prp69 = 131421801814750535682617176441683425900703370916084722660006894599083 01/19/15 17:45:10 v1.34.5 @ MESHGT, NFS elapsed time = 191762.0154 seconds. [/CODE] |
Also reserving C189_140_51 and C239_140_53 for ECM to t50.
|
[QUOTE=Antonio;392652]Reserving C180_143_45[/QUOTE][QUOTE=amphoria;392790]Reserving C213_140_41 for ECM to the t50 level.[/QUOTE]Thank you guys for the help :-)
Please let me know your names to add you there: [url]http://xyyxf.at.tut.by/contributors.html#0[/url] |
[QUOTE=amphoria;392790]Reserving C213_140_41 for ECM to the t50 level.[/QUOTE]
7600 curves completed with B1=43M with no factors found. Releasing. |
[QUOTE=XYYXF;392915]Thank you guys for the help :-)
Please let me know your names to add you there: [URL]http://xyyxf.at.tut.by/contributors.html#0[/URL][/QUOTE] Reserving C171_121_105, ECM to t50 Antonio Key |
Antonio,
121_105 was ECM'd to the t50 level several years ago by yoyo@Home. The [url=http://www.rechenkraft.net/yoyo/download/download/stats/ecm/xy/wu_status]wavefront[/url] for ECM t50 is currently at x=138. Suggest picking values of x>139 to avoid stepping on yoyo. |
Reserving the following for ECM to the t50 level
C200_140_43 C190_139_54 C173_146_90 C200_139_113 |
[QUOTE=swellman;392946]Antonio,
121_105 was ECM'd to the t50 level several years ago by yoyo@Home. The [URL="http://www.rechenkraft.net/yoyo/download/download/stats/ecm/xy/wu_status"]wavefront[/URL] for ECM t50 is currently at x=138. Suggest picking values of x>139 to avoid stepping on yoyo.[/QUOTE] OK thanks for the info - will choose another. abandoned C171_121_105 Reserving C159_145_38 |
C189_140_51 fully factored
[CODE]Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2981565117
p51 = 165614519614213338693599000339210516591637758472283 p139 = 5738887672912969888467012679679069217732781975921001854992732625830740336659029833570024643839239115745050150777422612264649348551868605951 [/CODE] |
Reserving the following for ECM to the t50 level:
C232_140_59 C234_140_67 C260_140_81 C269_140_83 C261_140_121 C262_140_129 |
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