is 2 12574579 - 1
has 3785326 decimal digits
takes 4.841 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD42999371802CA4Adouble-checked
PRP3D967E4521201BD5verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.363064.1791%15500027512500.16553.9628%2.528565.5986%1.4195%
PrimeNet2640.283162.5000%5500017000000.08074.2536%0.363864.0951%1.5951%
GPU722684.740164.7059%9000022000000.11443.0930%4.854565.7975%1.0917%
Difference-1-2.3771-0.5268%+65000+551250+0.0511+0.8698%-2.3260-0.1989%-0.1989%

Known prime factors (1 factor, 77.4 bits, 0.00061552% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
125745791992323944699262139056172477.3997922030410319352
23 × 3 × 43 × 7676386056511
2016-04-054376763860565114,432.0233,477436,071

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-22T00:00:00ANONYMOUSv4_computers1550002751250---0.165--3.963%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-22T00:00:00ANONYMOUSv4_computers21255--0.000--
2000-04-05T00:00:00ANONYMOUSv4_computers21264--0.283--
2013-06-18T11:18:00lycornManual testing264265--0.297--
2014-03-28T12:19:00NesowaManual testing265266--0.594--
2015-03-25T10:52:00ThaManual testing266267--1.189--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.585 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.585 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03296.826%
25500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.585


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-15T00:00:00ANONYMOUSv4_computersD42999371802CA4A4.841
2004-11-22T00:00:00ANONYMOUSv4_computersD42999371802CA4A4.841


PRP results:
dateuseridcompidcofactorsres64PRP
2022-04-19T21:58:55XZT800G5Mini1
199232394469926213905617
3D967E4521201BD5no


P-1 factor-bounds graph:
B1 = 155000, B2 = 2751250 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-19T21:58:55+00:00