is 2 3153077 - 1
has 949171 decimal digits
takes 0.268 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5D1E8E7CE6B5F7ABdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.863668.1159%10500001164471000.90556.8801%38.769170.3096%2.1936%
PrimeNet2600.048763.3333%130002400000.00312.6503%0.051864.3051%0.9718%
GPU722641.128865.6250%150002400000.00341.5445%1.132266.1559%0.5309%
Difference+5+36.7347+2.4909%+1035000+116207100+0.9021+5.3356%+37.6369+4.1537%+4.1537%

Known prime factors (3 factors, 205.9 bits, 0.00653126% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3153077363776830360267149372064.9805768600487084
22 × 34 × 9949 × 1789559
2018-04-04994917895591.18120.01320.0225
31530779019887588657315865272169.612143033100502419
32 × 31 × 512663442661
2009-05-013151266344266149.0183,447.06,438.1
315307729973765690922853688172271.344475309763937304
23 × 9151 × 20231 × 320923
2020-01-1920231320923171.450.00450.0051

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
31530773281226117207671510980042026676497885379941134.591
315307710903761477005238610589376083922596791952942136.324
3153077270359997140877523977993800390817074312855943140.956
315307798350702816119314564588870329679845481737606836613
046636585783
62205.936
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.203%
2020-01-19T13:05:16Jocelyn LaroucheManual testing500004000002271.3440.0090.5370.0171.222%
2020-12-28T12:02:43Jocelyn LaroucheManual testing31530731530776-
skipped known factor: 36377683036026714937
skipped known factor: 2997376569092285368817
--0.058--3.003%
2022-01-07T11:57:07Jocelyn LaroucheManual testing1050000116447100-
skipped known factor: 36377683036026714937
skipped known factor: 2997376569092285368817
--0.905--6.880%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-06-23T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-12T05:17:00S485122USB-A260261--0.049--
2021-01-05T04:03:49Jocelyn LaroucheManual testing261262--0.097--
2021-01-06T11:50:29Jocelyn LaroucheManual testing262263--0.311--
2021-01-09T20:29:12Jocelyn LaroucheManual testing263264--0.623--
2018-04-04T13:18:34TJAOIManual testing264265*64.980200.0520.5450.106
2022-03-24T17:59:10LordJuliusManual testing265266--2.370--
2022-03-24T17:59:10LordJuliusManual testing266267--4.740--
2021-09-14T11:04:06Jocelyn LaroucheManual testing267268--9.480--
2021-11-09T12:04:45Jocelyn LaroucheManual testing268269--18.96--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CurvesCompleteFacMiss

New Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computers5D1E8E7CE6B5F7AB0.268


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-31T18:35:56Oliver KruseGTX-2
901988758865731586527
59A9A2669DFA5D__no
2017-12-12T14:37:14kkmrkkblmbrbkc4.xlarge
901988758865731586527
59A9A2669DFA5D__no
2018-04-05T23:14:55GsSvmain
36377683036026714937
901988758865731586527
59A9A2669DFA5D__no
2020-01-25T11:39:28ANONYMOUS
36377683036026714937
901988758865731586527
2997376569092285368817
59A9A2669DFA5D53no


P-1 factor-bounds graph:
B1 = 1050000, B2 = 116447100 (P-1 stage 2)
B1 = 1050000 (P-1 stage 1)
B1 = 315307, B2 = 3153077 (P-1 stage 2)
B1 = 315307 (P-1 stage 1)
B1 = 50000, B2 = 400000 (P-1 stage 2)
B1 = 50000 (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: 2022-03-24T17:59:10+00:00