is 2 1214711 - 1
has 365665 decimal digits
takes 0.037 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L41774B6D78DEA54Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26724.461768.6567%1205000349450000.13536.1871%24.597070.5960%1.9392%
PrimeNet2560.007962.5000%5000800000.00042.2757%0.008363.3534%0.8534%
GPU722600.126465.0000%5000300000.00030.8281%0.126765.2898%0.2898%
Difference+7+24.3353+3.6567%+1200000+34915000+0.1350+5.3590%+24.4703+5.3061%+5.3061%

Known prime factors (1 factor, 91.7 bits, 0.00755039% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
121471140653010591413670512548868792891.7151673361424709814536649
32 × 1481 × 125542908298433081
2016-05-021481125542908298433081553,051,137304,148,619568,064,921

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-08-31T00:00:00Jocelyn Larouchev4_computers10001000---4.44667e-5--0.005%
2002-11-16T00:00:00Jocelyn Larouchev4_computers1000010000---0.000--0.140%
2003-09-21T00:00:00Team Prime Ribv4_computers100001000000---0.003--0.995%
2013-11-14T09:23:00David Campeaui5-2500k120500034945000---0.135--6.187%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-10T00:00:00ANONYMOUSv4_computers21257--0.016--
2003-05-19T00:00:00ANONYMOUSv4_computers21258--0.032--
2016-02-23T16:28:24Mark RoseManual testing258260--0.095--
2009-02-15T12:26:00Sturle Sundegiacco.ifi260261--0.126--
2011-05-09T14:45:00XyzzyManual testing261262--0.253--
2012-10-11T11:56:00dbaughManual testing262263--0.808--
2015-03-28T01:47:00omylistManual testing263264--1.616--
2015-04-06T20:33:00monstManual testing264265--3.076--
2015-09-16T10:09:00ramgeisManual testing265266--6.152--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.723 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:19.723 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.36925.430%
302500000.11089.563%
3510000000.00799.279%


ECM Summary

B1B2factorcurvesGHz-days
50000500000027810.27
50000500000030.111
25000035000000449.343


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-08-10T00:00:00ANONYMOUSv4_computers41774B6D78DEA54E0.037


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T14:41:35Oliver KruseGTX-0
4065301059141367051254886879
AAC52B85FC1B4A__no
2017-10-18T03:41:27Oliver KruseGTX-3
4065301059141367051254886879
AAC52B85FC1B4A__no
2018-01-03T13:34:05ATHec2-8x
4065301059141367051254886879
AAC52B85FC1B4A__no


P-1 factor-bounds graph:
B1 = 1205000, B2 = 34945000 (P-1 stage 2)
B1 = 1205000 (P-1 stage 1)
B1 = 10000, B2 = 1000000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-08-20T12:31:16+00:00