is 2 3126001 - 1
has 941021 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-L5697DA07D5921FB2double-checked
PRPE8C35A446AF45D72verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.067567.6471%30000001000000001.02248.0545%20.089970.2529%2.6059%
PrimeNet2600.049163.3333%130002400000.00312.6462%0.052364.3036%0.9703%
GPU722641.138665.6250%150002400000.00341.5419%1.142066.1550%0.5300%
Difference+4+17.9288+2.0221%+2985000+99760000+1.0191+6.5126%+18.9479+4.0979%+4.0979%

Known prime factors (1 factor, 71.0 bits, 0.00227011% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
312600123024724110087370609132270.964368277619074456
23 × 3 × 7 × 13 × 168625283459
2020-11-1413168625283459109.821,133.82,117.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.251%
2009-08-13T12:59:00Carsten Kossendeydurandal15000180000---0.003--0.763%
2011-08-31T03:55:00Squeeky_SquirrelT7500_2200950001757500---0.023--2.404%
2016-04-12T10:52:11Jocelyn LaroucheManual testing19000058094006---0.061--3.556%
2016-04-14T09:31:27harleeP4_2600215000607375012---0.066--3.660%
2018-08-18T21:36:22Jocelyn Larouchelow 4M4300002580000---0.068--3.283%
2018-08-19T12:41:38Jocelyn Larouchelow 4M4300003440000---0.073--3.529%
2018-08-19T20:22:25Jocelyn Larouchelow 4M4300003870000---0.076--3.630%
2018-08-20T10:36:02Jocelyn Larouchelow 4M4300004300000---0.079--3.720%
2018-12-11T06:31:57mikrMSI300000010000000012---1.022--8.054%
2021-01-17T00:34:25Jocelyn LaroucheManual testing46000031260016---0.075--3.470%
2022-01-24T00:01:10Jocelyn LaroucheManual testing1072600119912100---0.931--7.545%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-13T07:55:00S485122USB-A260261--0.049--
2011-07-05T23:23:00Rob_Deetwopc261262--0.098--
2013-01-07T13:56:00dbaughManual testing262263--0.314--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.628--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.195--
2015-06-14T13:51:00ThaManual testing265266--2.391--
2021-02-21T11:36:42Jocelyn LaroucheManual testing265266--2.391--
2021-02-22T09:03:45Jocelyn LaroucheManual testing266267--4.781--
2017-04-16T02:34:53Gordon SpenceManual testing266267--4.781--
2019-01-14T11:03:53TJAOIManual testing267268--9.56--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.105 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:2.105 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.69250.042%
25500000.06493.795%
302500000.00499.597%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.755
50000500000030.351


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-08T00:00:00ANONYMOUSv4_computers5697DA07D5921FB20.266
1999-09-22T00:00:00ANONYMOUSv4_computers5697DA07D5921FB20.266


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-17T11:09:18arnaudSRV-130
2302472411008737060913
E8C35A446AF45D72no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1072600, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1072600 (P-1 stage 1)
B1 = 430000, B2 = 4300000 (P-1 stage 2)
B1 = 430000, B2 = 3870000 (P-1 stage 2)
B1 = 460000, B2 = 3126001 (P-1 stage 2)
B1 = 430000, B2 = 3440000 (P-1 stage 2)
B1 = 430000, B2 = 2580000 (P-1 stage 2)
B1 = 215000, B2 = 6073750 (P-1 stage 2)
B1 = 190000, B2 = 5809400 (P-1 stage 2)
B1 = 460000 (P-1 stage 1)
B1 = 430000 (P-1 stage 1)
B1 = 215000 (P-1 stage 1)
B1 = 190000 (P-1 stage 1)
B1 = 95000, B2 = 1757500 (P-1 stage 2)
B1 = 95000 (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: 2022-01-24T00:01:10+00:00