is 2 12294983 - 1
has 3701159 decimal digits
takes 4.734 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L541EF030B56BD6A7double-checked
PRP50884728753E9AB0PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27277.782466.6667%1000000105755034032.69328.1837%110.475769.3946%2.7279%
PrimeNet2640.289562.5000%5500015000000.07474.1285%0.364164.0482%1.5482%
GPU722684.847964.7059%9000022000000.11443.0828%4.962365.7939%1.0880%
Difference+4+72.9345+1.9608%+910000+1055350340+32.5788+5.1009%+105.5133+3.6006%+1.6399%

Known prime factors (1 factor, 134.7 bits, 0.00109544% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
122949833499680403993083481345746616456221073527141134.6841423214820221013514758721755229845
3 × 5 × 17 × 2341 × 4283 × 48187 × 58699 × 244381 × 805290841
2021-12-232443818052908411.090e+1024.62245.746

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-15T00:00:00ANONYMOUSv4_computers185000185000---0.103--0.896%
2015-08-25T08:20:00ThaManual testing3000006000000---0.341--3.022%
2021-12-23T05:15:28LuminescenceMain1000000105755034041134.68432.699.46765.398.184%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-27T00:00:00willmorev4_computers21264--0.289--
2000-04-05T00:00:00willmorev4_computers21264--0.289--
2000-05-31T00:00:00willmorev4_computers21264--0.289--
2001-09-16T00:00:00willmorev4_computers21264--0.289--
2013-08-01T08:03:00lycornManual testing264265--0.304--
2013-09-29T05:23:00NesowaManual testing265266--0.608--
2015-03-08T09:24:00ThaManual testing266267--1.216--
2015-07-25T09:25:00ThaManual testing267268--2.431--
2017-11-03T22:51:28ramgeisManual testing268269--4.862--
2021-08-01T17:39:55ZacHFXManual testing269270--9.72--
2021-08-01T17:39:55ZacHFXManual testing270271--19.45--
2021-10-22T19:00:35-Anonymous-Manual testing271272--38.90--


ECM factoring results:
Total ECM effort:1.171 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-10-20T00:00:00ANONYMOUSv4_computers541EF030B56BD6A74.734
2004-11-03T00:00:00ANONYMOUSv4_computers541EF030B56BD6A74.734


PRP results:
dateuseridcompidcofactorsres64PRP
2022-02-26T13:46:14happy5214Focus
34996804039930834813457466164562210735271
50884728753E9AB0no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 1057550340 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 300000, B2 = 6000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 185000 (P-1 stage 1)
104
105
106
104
105
106
107
108
109
1010
TF factor-bounds graph:
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269
268
267
266
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264
250
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290
2100
2110
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2140
Last modified: 2022-02-26T13:46:14+00:00