is 2 3122869 - 1
has 940078 decimal digits
takes 0.266 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7BCDD17A191F2034double-checked
PRP44C230AB9D613C09verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.086667.6471%30000001000000001.02248.0537%20.109070.2527%2.6056%
PrimeNet2600.049263.3333%130002400000.00312.6457%0.052364.3034%0.9701%
GPU722641.139865.6250%150002400000.00341.5416%1.143166.1549%0.5299%
Difference+4+17.9468+2.0221%+2985000+99760000+1.0191+6.5121%+18.9659+4.0977%+4.0977%

Known prime factors (1 factor, 71.0 bits, 0.00227449% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
312286924099469959199159684572271.029385854641344212
22 × 3 × 32154553445351
2021-05-01432154553445351195.25216,200403,802

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.251%
2009-07-03T00:45:00Carsten Kossendeyleela15000180000---0.003--0.763%
2011-08-28T03:47:00Squeeky_SquirrelT7500_22001050002126250---0.027--2.565%
2016-09-30T08:50:34Squeeky_Squirreli5-5250U_1600195000546000012---0.059--3.525%
2018-07-15T19:00:15Jocelyn Larouchelow 4M6921442768576---0.099--3.479%
2018-07-16T10:16:45Jocelyn Larouchelow 4M6921444152864---0.109--3.860%
2018-11-24T22:43:04mikrMSI300000010000000012---1.022--8.054%
2022-02-20T22:19:22Jocelyn LaroucheManual testing1000000128282700---0.979--7.560%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-14T15:46:00S485122USB-A260261--0.049--
2011-11-15T21:24:00Grant McCrackenthumper261262--0.098--
2013-01-07T13:56:00dbaughManual testing262263--0.314--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.629--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.196--
2015-06-14T13:51:00ThaManual testing265266--2.393--
2017-04-14T16:24:31Gordon SpenceManual testing266267--4.786--
2019-01-14T11:03:54TJAOIManual testing267268--9.57--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.198 GHz-days
Estimated T-Level:2.650
DigitsB1CurvesCompleteFacMiss
201100053 / 1000.53058.704%
255000053 / 2800.18982.727%

New Calculation Method

Total ECM effort:6.198 GHz-days
Estimated T-Level:2.650
DigitsB1CompleteFacMiss
20110001.71018.092%
25500000.15585.683%
302500000.01099.053%


ECM Summary

B1B2factorcurvesGHz-days
500005000000505.848
50000500000030.351


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-16T00:00:00oerwinv4_computers7BCDD17A191F20340.266
1999-11-04T00:00:00ANONYMOUSv4_computers7BCDD17A191F20340.266


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-02T14:37:13XZTN4640G2
2409946995919915968457
44C230AB9D613C09no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 128282700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 692144, B2 = 4152864 (P-1 stage 2)
B1 = 692144, B2 = 2768576 (P-1 stage 2)
B1 = 692144 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
B1 = 105000, B2 = 2126250 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-20T22:19:22+00:00