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 2020-05-23, 15:47 #2388 chris2be8     Sep 2009 2×7×139 Posts QUEUED AS f75_131m1 (75^131-1)/59563948827208938194 from the Brent tables. Code: # Built Fri May 22 20:05:45 2020 # Estimated SNFS difficulty 248, GNFS equivalent 179, GNFS difficulty 226, degree 6 n: 7211772571418675581583804959042112603057903178992392752895967191856314959105898899958374258910514947575456897554643486368414986617239099336916798534887782510693452422361646044387414561489572459800131239629454975072142514536721 type: snfs c6: 1 c0: -75 # Y0 = 75^22 Y0: 178380671565037118853069841861724853515625 # Y1 = 1^0 Y1: 1 # msieve rating: skew 2.05, size 3.126e-12, alpha 1.116, combined = 2.711e-13 rroots = 2 skew: 2.053 rlim: 134000000 alim: 134000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 91 rlambda: 2.6 alambda: 3.5 Sieve with 14e from 20M to 160M on the rational side. Test sieving 10k blocks: Code:  Q yield 20M 22736 80M 16607 134M 15520 160M 14951 220M 13388 Chris Last fiddled with by swellman on 2020-05-23 at 16:47
 2020-05-23, 21:02 #2389 RichD     Sep 2008 Kansas 1100011011002 Posts QUEUED AS 128__857_5m1 C173 from the OPN t800 file. [ a.k.a. Phi_5(Phi_7(Phi_5(Phi_3(4733))/p15)/29/49477/709140083/p24)/151/241/p28 ] P51^5-1 Code: n: 30789426587970150903978907190922597445190007733071639558430485898895416991466443471352430455133388620037836514281913399448824581442159501825422791788158328715548290734128731 # 1285835468518608091679189119872694894571585017179857^5-1, difficulty: 204.44, skewness: 1.00, alpha: 1.45 # cost: 2.07321e+17, est. time: 98.72 GHz days (not accurate yet!) skew: 1.000 c4: 1 c3: 1 c2: 1 c1: 1 c0: 1 Y1: -1 Y0: 1285835468518608091679189119872694894571585017179857 type: snfs rlim: 33500000 alim: 33500000 lpbr: 30 lpba: 30 mfbr: 60 mfba: 60 rlambda: 2.6 alambda: 2.6 Trial sieving 5K blocks. Code:  Q Yield 20M 9277 50M 9640 80M 8386 94M 9316 Last fiddled with by swellman on 2020-05-23 at 21:31
 2020-05-25, 18:33 #2390 chris2be8     Sep 2009 2·7·139 Posts QUEUED AS f60_139p1 (60^139+1)/18924538895094173590486205353126380934023150856938867764485304166767932217 from the Brent tables: Code: # Built Mon May 25 06:50:21 2020 # Estimated SNFS difficulty 248, GNFS equivalent 179, GNFS difficulty 174, degree 6 n: 769127778152103165154736490678654163191500825566252163801414247369393532157036623817582338165149149488519173170231565757182084245725706660322010928434679289212202552984652553 type: snfs c6: 60 c0: 1 # Y0 = 60^23 Y0: 78973022305360281600000000000000000000000 # Y1 = 1^0 Y1: 1 # msieve rating: skew 0.51, size 3.314e-12, alpha 0.783, combined = 2.848e-13 rroots = 0 skew: 0.5054 rlim: 134000000 alim: 134000000 lpbr: 31 lpba: 31 mfbr: 91 mfba: 62 rlambda: 3.5 alambda: 2.6 Seive with 14e from 20M to 170M on the algebraic side. Test sieving 10k blocks: Code:  Q yield 20M 23064 80M 15372 134M 14543 160M 13745 220M 13335 I considered using GNFS, but the SNFS poly's e-score is better than the record for a c174. Chris Last fiddled with by swellman on 2020-05-26 at 16:26
2020-05-25, 19:17   #2391
swellman

Jun 2012

1011010100002 Posts

Quote:
 Originally Posted by chris2be8 I considered using GNFS, but the SNFS poly's e-score is better than the record for a c174. Chris
Keep in mind the record GNFS score is based on degree 5 (for a c174) but your SNFS is a degree 6. They donâ€™t directly compare unfortunately.

 2020-05-26, 15:52 #2392 chris2be8     Sep 2009 2×7×139 Posts Comparing test sieving results for degree 5 and 6 with the e scores they are not far out. So I don't think I could find a GNFS poly for 60^139+1 that would save more sieving time that it would take to find it. Chris
 2020-05-27, 16:03 #2393 chris2be8     Sep 2009 194610 Posts QUEUED AS f15_211m1 (15^211-1)/979936215106477226402 Code: # Built Wed May 27 07:33:41 2020 # Estimated SNFS difficulty 249, GNFS equivalent 179, GNFS difficulty 228, degree 6 n: 145900860311243755696258479158138583874186379759376099391575093830854745406025371544423936428272850374345083801918722893570111973139606218921608960025553580735386981060651330474081957109490039787487738167766058630101973839741287 type: snfs c6: 15 c0: -1 # Y0 = 15^35 Y0: 145610960604971353313885629177093505859375 # Y1 = 1^0 Y1: 1 # msieve rating: skew 0.64, size 4.386e-12, alpha 0.354, combined = 3.412e-13 rroots = 2 skew: 0.63677 rlim: 134000000 alim: 134000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 91 rlambda: 2.6 alambda: 3.5 Sieve with 14e from 20M to 150M on the rational side. Test sieving 10k ranges: Code:  Q yield 20M 24727 80M 18360 134M 16656 160M 16195 220M 14572 Chris Last fiddled with by swellman on 2020-05-27 at 21:36
 2020-05-28, 14:30 #2394 RichD     Sep 2008 Kansas 22·3·5·53 Posts QUEUED AS 100__649_5m1 C164 from the OPN t800 file. Code: [ a.k.a. Phi_5(Phi_3(Phi_5(Phi_3(Phi_5(Phi_3(293459)/277)/160651/5492801/7795811/89222701)/22651)/1151/5261)/p18)/3331/p30 ] P50^5-1 Code: n: 14207464995223513250471564753435456119075805740444527650067895620909461029561628321793974825431444846728606610237989411333917001676018229444284745647614017827787461 # 10075116156858912747038159291676977637204305385649^5-1, difficulty: 196.01, skewness: 1.00, alpha: 1.45 # cost: 9.94345e+16, est. time: 47.35 GHz days (not accurate yet!) skew: 1.000 c4: 1 c3: 1 c2: 1 c1: 1 c0: 1 Y1: -1 Y0: 10075116156858912747038159291676977637204305385649 type: snfs rlim: 16700000 alim: 16700000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.5 alambda: 2.5 Trial sieving 5K blocks. Code:  Q Yield 10M 8418 20M 9448 30M 9160 40M 8556 46M 8307 Last fiddled with by swellman on 2020-05-28 at 21:36
 2020-05-28, 16:23 #2395 chris2be8     Sep 2009 194610 Posts QUEUED AS f15_211p1 (15^211+1)/138484169289294903994299874794992 from the Brent tables. Code: # Built Thu May 28 09:35:46 2020 # Estimated SNFS difficulty 249, GNFS equivalent 179, GNFS difficulty 217, degree 6 n: 1032417911505146889707704045831732421154963977866305835543876551450646478809146677559739463310542377537277858321412708265015932962306930946303767720542476986351913097237915514068472139346226160617244101971208397659453 type: snfs c6: 15 c0: 1 # Y0 = 15^35 Y0: 145610960604971353313885629177093505859375 # Y1 = 1^0 Y1: 1 # msieve rating: skew 0.64, size 3.190e-12, alpha 1.113, combined = 2.756e-13 rroots = 0 skew: 0.63677 rlim: 134000000 alim: 134000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 91 rlambda: 2.6 alambda: 3.5 Sieve with 14e from 20M to 160M on the rational side. Test sieving 10k ranges: Code:  Q yield 20M 21541 80M 16323 134M 14886 160M 14394 220M 12927 Chris Last fiddled with by swellman on 2020-05-28 at 21:37
 2020-05-30, 00:29 #2396 RichD     Sep 2008 Kansas 22×3×5×53 Posts QUEUED AS 16229_59m1 C245 from the MWRB file with OPN weight 13152. This is a 31/32 hybrid job. Code: n: 15737975175603511327879592246574325202258612519183521309938847591240646378400845466020722719143136114796158035344239312397918459940185776886001746079709930162436656993185993152144715448450865795649288716701953687373722875767360696786533582560231 # 16229^59-1, difficulty: 252.62, skewness: 5.03, alpha: 0.00 # cost: 1.01351e+19, est. time: 4826.24 GHz days (not accurate yet!) skew: 5.032 c6: 1 c0: -16229 Y1: -1 Y0: 1267411380671451072764535222683696381878201 type: snfs rlim: 134000000 alim: 268000000 lpbr: 31 lpba: 32 mfbr: 62 mfba: 64 rlambda: 2.7 alambda: 2.7 Trial sieving 5K blocks. Code:  Q Yield 20M 9898 60M 8306 100M 7796 200M 6249 260M 5851 Last fiddled with by swellman on 2020-05-30 at 00:57
 2020-05-30, 16:31 #2397 RichD     Sep 2008 Kansas 1100011011002 Posts 15e Candidate QUEUED AS 177__039_19m1_2nd_try C215 from the OPN file t550. This polynomial is subject to a higher dup rate. Sieve on the algebraic side. Ready for 15e. Code: n: 15835071556207051478107508472013415767804468516627956948324306643972152047494049420420961498532994542929749348299256388949649541359552228306565639000927314216700294596571349358413265208672258434343052221920513161907 # 17748600316039^19-1, difficulty: 251.73, skewness: 0.01, alpha: 0.00 # cost: 9.47727e+18, est. time: 4512.98 GHz days (not accurate yet!) lss: 0 skew: 0.006 c6: 17748600316039 c0: -1 Y1: -1 Y0: 5591036515536254074134439831442393967319 type: snfs rlim: 268000000 alim: 400000000 lpbr: 32 lpba: 32 mfbr: 64 mfba: 93 rlambda: 2.7 alambda: 3.7 Trial sieving 5K blocks. Code:  Q Yield 20M 10591 60M 9252 100M 9251 200M 6683 300M 6399 360M 6317 Last fiddled with by swellman on 2020-05-30 at 23:04
 2020-05-31, 15:47 #2398 chris2be8     Sep 2009 2·7·139 Posts QUEUED AS f13_223p1 (13^223+1)/2465926236281329178 Code: # Built Sat May 30 21:26:52 2020 # Estimated SNFS difficulty 249, GNFS equivalent 179, GNFS difficulty 231, degree 6 n: 104084840996517350809394430092385557228037681575968061956641364987234799024519105986460454625191134958009648196537645045543897247506681063819527368819796947012621090821132973613566044958544946119187058156253134943438035596141559791 type: snfs c6: 13 c0: 1 # Y0 = 13^37 Y0: 164400841185494513395503358052498933338333 # Y1 = 1^0 Y1: 1 # msieve rating: skew 0.65, size 3.684e-12, alpha 0.570, combined = 3.042e-13 rroots = 0 skew: 0.652 rlim: 134000000 alim: 134000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 91 rlambda: 2.6 alambda: 3.5 Sieve with 14e from 20M to 160M on the rational side. Test sieving 10k ranges: Code:  Q Yield 20M 22900 80M 16728 134M 15537 160M 15268 220M 13438 Chris Last fiddled with by swellman on 2020-05-31 at 15:58

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