is 2 3107831 - 1
has 935551 decimal digits
takes 0.265 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPE11C1FEE53C3BD81verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26938.414868.1159%30000001000000001.02247.4200%39.437370.4817%2.3658%
PrimeNet2600.049463.3333%130002400000.00312.6434%0.052664.3026%0.9692%
GPU722641.145365.6250%140002400000.00321.5079%1.148566.1433%0.5183%
Difference+5+37.2696+2.4909%+2986000+99760000+1.0192+5.9122%+38.2887+4.3384%+4.3384%

Known prime factors (1 factor, 75.0 bits, 0.00241366% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3107831381033023070669215303512375.0126130208223527425
52 × 59 × 67 × 541 × 114659789
2021-07-255411146597893,466.70.77101.4399

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.202%
2009-07-03T21:37:00Carsten Kossendeyleela15000180000---0.003--0.651%
2011-08-22T22:42:00Squeeky_SquirrelT7500_22001000002125000---0.026--2.253%
2016-08-31T03:20:25Jocelyn Larouchelow4M10000042500006---0.040--2.635%
2016-12-28T01:45:57Jocelyn Larouchelow 4M120000120000---0.015--0.827%
2017-01-19T17:19:12Jocelyn Larouchelow 4M156000156000---0.019--0.960%
2017-02-04T18:42:41Jocelyn Larouchelow 4M187200187200---0.023--1.060%
2017-02-16T04:19:50Jocelyn Larouchelow 4M22464022464006---0.041--2.631%
2017-03-11T20:20:07Jocelyn Larouchelow 4M26956826956806---0.050--2.825%
2018-08-17T15:08:23mikrMSI300000010000000012---1.022--7.420%
2022-02-20T22:18:57Jocelyn LaroucheManual testing1000000128282700-
skipped known factor: 38103302307066921530351
--0.979--6.929%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-09T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-02-12T16:02:00Sturle Sundegollumilla.ifi260261--0.049--
2011-11-22T20:11:00markroldgamer261262--0.099--
2013-01-07T13:56:00dbaughManual testing262263--0.316--
2015-02-07T18:29:00VictordeHollanderManual testing263264--0.632--
2015-02-07T18:29:00VictordeHollanderManual testing264265--1.202--
2015-06-11T22:04:00ThaManual testing265266--2.404--
2017-04-11T13:39:12Gordon SpenceManual testing266267--4.809--
2019-02-04T14:28:19TJAOIManual testing267268--9.62--
2021-03-03T10:19:23TJAOIManual testing268269--19.24--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.995 GHz-days
Estimated T-Level:3.350
DigitsB1CurvesCompleteFacMiss
201100067 / 1000.67050.999%
255000067 / 2800.23978.685%

New Calculation Method

Total ECM effort:7.995 GHz-days
Estimated T-Level:3.350
DigitsB1CompleteFacMiss
20110002.6097.361%
25500000.24178.581%
302500000.01598.489%


ECM Summary

B1B2factorcurvesGHz-days
50000480000070.803
500005000000505.843
50000675000070.945
50000675000030.405


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computersF317817898D5DC__0.265


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-26T20:29:18kutenscanopus
38103302307066921530351
E11C1FEE53C3BD81no


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 = 269568, B2 = 2695680 (P-1 stage 2)
B1 = 224640, B2 = 2246400 (P-1 stage 2)
B1 = 100000, B2 = 4250000 (P-1 stage 2)
B1 = 269568 (P-1 stage 1)
B1 = 224640 (P-1 stage 1)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 187200 (P-1 stage 1)
B1 = 156000 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 100000 (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: 2022-02-20T22:18:57+00:00