is 2 12917939 - 1
has 3888688 decimal digits
takes 5.277 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L28BB1D6A3BDC3AA6double-checked
PRP24DB50495403F4E5PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27274.031466.6667%1500000155735034051.09469.0323%125.126169.6774%3.0108%
PrimeNet2640.275562.5000%6000017000000.08854.3332%0.364064.1250%1.6250%
GPU722684.614164.7059%9000024000000.12783.1659%4.742065.8233%1.1174%
Difference+4+69.4173+1.9608%+1410000+1554950340+50.9668+5.8664%+120.3841+3.8542%+1.8934%

Known prime factors (2 factors, 207.5 bits, 0.00160630% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1291793998565787115028666112732273.062381507402670924
22 × 67 × 937 × 1519247689
2021-12-239371519247689219.3749.02691.565
129179392951860831718353286096412419756768326439341134.4391142543261629565399750073297201964
22 × 11 × 59 × 347 × 7499 × 10709 × 128273 × 487789 × 252417211
2021-12-234877892524172111.472e+108.418515.213

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1291793929095248633234266801110498580589685264426418936964
5702413302289
63207.500
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-06-17T00:00:00ANONYMOUSv4_computers1550002286250---0.161--2.176%
2002-04-28T00:00:00rpaliv4_computers1500001725000---0.140--2.013%
2021-12-23T17:28:40Luminescence5950X21500000155735034063207.50051.0910.55102.29.032%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-27T00:00:00ANONYMOUSv4_computers21264--0.276--
2013-06-01T06:16:00lycornManual testing264265--0.289--
2014-05-12T08:09:00NesowaManual testing265266--0.578--
2015-04-14T11:46:00ThaManual testing266267--1.157--
2018-01-07T23:32:04ramgeisManual testing267268--2.314--
2018-01-07T23:32:04ramgeisManual testing268269--4.628--
2021-08-07T06:11:22SRBaseManual testing269270--9.256--
2021-08-30T16:16:25SRBaseManual testing270271--18.51--
2021-10-30T20:55:02-Anonymous-Manual testing271272--37.02--


ECM factoring results:
Total ECM effort:1.242 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.242


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-07-27T00:00:00rpaliv4_computers28BB1D6A3BDC3AA65.277
2005-01-20T00:00:00Team Prime Ribv4_computers28BB1D6A3BDC3AA65.277


PRP results:
dateuseridcompidcofactorsres64PRP
2022-05-24T11:11:48XZT800G2Mini9
9856578711502866611273
29518608317183532860964124197567683264393
24DB50495403F4E5no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 1557350340 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 155000, B2 = 2286250 (P-1 stage 2)
B1 = 150000, B2 = 1725000 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
B1 = 150000 (P-1 stage 1)
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1010
TF factor-bounds graph:
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Last modified: 2022-05-24T11:11:48+00:00