is 2 1462213 - 1
has 440170 decimal digits
takes 0.056 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L935995D770C4650Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26720.321268.6567%2500000625000000.31947.4132%20.640670.9803%2.3235%
PrimeNet2560.006662.5000%70001200000.00072.9088%0.007363.5908%1.0908%
GPU722600.105065.0000%6500900000.00061.3990%0.105765.4896%0.4896%
Difference+7+20.2162+3.6567%+2493500+62410000+0.3188+6.0142%+20.5349+5.4906%+5.4906%

Known prime factors (1 factor, 75.2 bits, 0.00514522% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1462213444342589626565639113432375.23415194181341109867
3 × 443 × 20173 × 566737351
2016-09-13201735667373515,603.51.71053.1927

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-29T00:00:00Team Prime Ribv4_computers15000243750---0.002--0.840%
2009-01-26T13:16:00axnManual testing80000016000000---0.090--5.262%
2015-05-17T13:23:00alpertronManual testing200000060000000---0.286--7.235%
2016-08-23T14:56:59Bruno Victal5820K-factoring25000006250000012---0.319--7.413%
2016-08-27T10:54:00Bruno VictalManual testing25000006250000012---0.319--7.413%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-13T00:00:00ANONYMOUSv4_computers21257--0.013--
2003-07-30T00:00:00ANONYMOUSv4_computers21258--0.026--
2016-02-23T16:28:33Mark RoseManual testing258260--0.079--
2010-05-08T11:30:00Architects Cubeda3_bu2260261--0.105--
2016-02-23T16:28:33Mark RoseManual testing261262--0.210--
2011-03-08T05:14:00GrunwalderGIMPManual testing21263--1.092--
2016-02-23T16:28:33Mark RoseManual testing262263--0.671--
2015-03-30T01:02:00snme2pm1Manual testing263264--1.343--
2015-03-30T01:02:00snme2pm1Manual testing264265--2.555--
2015-09-20T20:59:00ramgeisManual testing265266--5.111--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.571 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.571 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.35725.749%
302500000.11389.315%
3510000000.00899.236%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024811.76
50000500000030.142
250000350000005013.67


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10T00:00:00Brian Campbellv4_computers935995D770C4650F0.056
2015-06-27T00:57:00MadPooManual testing935995D770C4650F0.056


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-01T03:24:17Oliver KruseGTX-3
44434258962656563911343
69BBC35486F12A__no
2017-10-27T21:33:34kkmrkkblmbrbkc4.xlarge
44434258962656563911343
69BBC35486F12A__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 800000, B2 = 16000000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 15000, B2 = 243750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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264
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Last modified: 2022-01-25T11:43:48+00:00