is 2 332117 - 1
has 99978 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7E708BFD13F676__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26789.468271.6418%131072131072000.00863.1693%89.476972.5406%0.8988%
PrimeNet2400.000052.5000%34001000000.000116.1579%0.000160.1750%7.6750%
GPU722440.000056.8182%60001600000.000111.8224%0.000261.9233%5.1051%
Difference+23+89.4682+14.8236%+125072+12947200+0.0085-8.6530%+89.4767+10.6173%+10.6173%

Known prime factors (1 factor, 77.8 bits, 0.02341226% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3321172552218294716626911152792477.756384234817054927467
3 × 233 × 549692156015633
2008-01-10233549692156015633126,213308,805576,761

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-10-13T00:00:00ANONYMOUSv4_computers10000010000000---0.007--2.830%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.634%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.338%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.169%
2006-01-15T00:00:00Jocelyn Larouchev4_computers332117332117---0.003--1.267%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:36:36LordJuliusManual testing254255--0.007--
2001-03-11T00:00:00ANONYMOUSv4_computers21256--0.029--
2002-03-03T00:00:00ANONYMOUSv4_computers21257--0.058--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.116--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.651 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000423 / 1004.2301.425%
2550000423 / 2801.51122.016%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:7.651 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002792.137
250000250000001445.514


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03T00:00:00ANONYMOUSv4_computers7E708BFD13F676__0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T20:34:10Oliver KruseOllaptop
255221829471662691115279
670D439295A0DD__no
2017-09-23T17:10:53Oliver KruseManual testing
255221829471662691115279
670D439295A0DD__no
2017-10-13T02:37:43Oliver KruseGTX-1670D439295A0DD__no
2017-12-12T13:52:15ATHxps
255221829471662691115279
670D439295A0DD__no
2020-04-18T07:58:14Oliver KruseAddPrpType5
255221829471662691115279
8F3A4D47BD40CC__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 332117 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T06:36:36+00:00