is 2 8127199 - 1
has 2446531 decimal digits
takes 2.122 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF681B86219F572D6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26914.689866.6667 %2200000190837614040.153111.5474 %54.842970.5158 %
Target2673.656165.6716 %5500060000000.14352.5733 %3.799666.5550 %
Difference+2+11.0337+0.9950 %+2145000+1902376140+40.0097+8.9742%+51.0433+3.9608 %

Known prime factors (1 factor, 72.5 bits, 0.00089174% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
812719965551306361441041772872272.473403283507401757
403283507401757
2019-02-151403283507401757117.678,318,84315,537,281

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-08-17ANONYMOUSv4_computers40000450000--0.0241.860%
2012-09-22James HeinrichManual testing21500053750006--0.1884.500%
2022-12-18FlaukrotistColab_AK222000001908376140--42.5013.309%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-30Tom 7v4_computers212630.121
2013-09-20AxelssonManual testing2632640.242
2013-12-26David CampeauManual testing2642650.460
2015-05-25snme2pm1Manual testing2652660.919
2015-11-30snme2pm1Manual testing2662671.839
2018-07-04chuenkitManual testing2672683.678
2023-04-16FlaukrotistManual testing268269


ECM factoring results:
Total ECM effort:2.382 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-30johnguinv4_computersF681B86219F572D62.122
2002-10-19ANONYMOUSv4_computersF681B86219F572D62.122


PRP results:
dateuseridcompidcofactorsres64
2019-02-16FJlap_junk
6555130636144104177287
AEDC0D19E07336D9
2020-02-14GANOSK-SCH03
6555130636144104177287
AEDC0D19E07336D9


CERT results:
No CERT results for M8127199


P-1 factor-bounds graph:
B1 = 2200000, B2 = 1908376140 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 215000, B2 = 5375000 (P-1 stage 2)
B1 = 215000 (P-1 stage 1)
B1 = 40000, B2 = 450000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
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Last modified: 2024-02-09T03:30:02+00:00