is 2 4121699 - 1
has 1240756 decimal digits
takes 0.514 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L581666230612DB15double-checked
PRPC069CFC5281E5E00

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27057.973868.5714%130000006500000008.627410.1936%66.601271.7751%3.2037%
PrimeNet2610.074563.9344%170003400000.00632.8253%0.080864.9534%1.0190%
GPU722651.770166.1538%220004000000.00771.8103%1.777866.7666%0.6127%
Difference+5+56.2037+2.4176%+12978000+649600000+8.6197+8.3833%+64.8235+5.0086%+5.0086%

Known prime factors (1 factor, 84.1 bits, 0.00203925% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4121699200486011999084649582802172684.0522432079732157596292
22 × 608019933039399073
2021-08-2546080199330393990731,109,3835.991e+91.119e+10

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-10T05:22:00Carsten Kossendeydurandal25000325000---0.007--0.857%
2011-08-04T06:36:00harleeP4_260040000580000---0.013--1.179%
2013-06-24T15:26:00Squeeky_SquirrelT7500_22001250002343750---0.044--2.237%
2020-11-25T13:48:45Carlos PinhoHomeComputer15200039710006---0.065--2.626%
2021-06-28T04:20:36axnManual testing13000000650000000---8.627--10.194%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-25T00:40:55ATH5960X250000017250000027P+12684.0522.329


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-10T00:00:00ANONYMOUSv4_computers?261--0.037--
2010-12-04T11:04:00Grant McCrackenthumper261262--0.075--
2011-07-01T19:14:00GrunwalderGIMPManual testing21263--0.387--
2016-02-23T16:29:48Mark RoseManual testing262263--0.238--
2013-09-10T12:51:00JayderManual testing263264--0.476--
2013-10-28T11:15:00David CampeauManual testing264265--0.907--
2015-06-01T23:44:00snme2pm1Manual testing265266--1.813--
2017-12-12T17:36:54YxinityManual testing266267--3.626--
2018-11-19T05:23:47YxinityManual testing267268--7.252--
2021-06-01T15:48:29axnManual testing268269--14.50--
2021-06-01T15:48:29axnManual testing269270--29.01--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.173 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:2.173 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.173


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-15T00:00:00ANONYMOUSv4_computers581666230612DB150.514


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-25T02:06:11ATHec2-PRPCFDC
20048601199908464958280217
C069CFC5281E5E00no


P-1 factor-bounds graph:
B1 = 13000000, B2 = 650000000 (P-1 stage 2)
B1 = 13000000 (P-1 stage 1)
B1 = 2500000, B2 = 172500000 (P+1 stage 2)
B1 = 2500000 (P+1 stage 1)
B1 = 152000, B2 = 3971000 (P-1 stage 2)
B1 = 125000, B2 = 2343750 (P-1 stage 2)
B1 = 152000 (P-1 stage 1)
B1 = 125000 (P-1 stage 1)
B1 = 40000, B2 = 580000 (P-1 stage 2)
B1 = 25000, B2 = 325000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 25000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-08-25T02:06:11+00:00