is 2 337609 - 1
has 101631 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-LC8A16B383B35C1__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26788.012871.6418%2000000018200000001.217411.8889%89.230275.0133%3.3715%
PrimeNet2400.000052.5000%34001000000.000116.1927%0.000160.1915%7.6915%
GPU722440.000056.8182%60001700000.000211.9830%0.000261.9927%5.1745%
Difference+23+88.0128+14.8236%+19994000+1819830000+1.2173-0.0941%+89.2301+13.0206%+13.0206%

Known prime factors (1 factor, 72.6 bits, 0.02150150% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33760971133030325814548507272272.59110534824356846907
3 × 13 × 270123701457613
2007-09-11132701237014576134,321.0151,749283,426

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.639%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.177%
2006-01-15T00:00:00Jocelyn Larouchev4_computers337609337609---0.003--1.281%
2021-06-20T16:23:47George WoltmanManual testing200000001820000000---1.217--11.889%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-22T14:56:49George WoltmanManual testing1000000083000000027--0.608


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:36:43LordJuliusManual testing254255--0.007--
2001-03-11T00:00:00ANONYMOUSv4_computers21256--0.028--
2002-02-24T00:00:00ANONYMOUSv4_computers21257--0.057--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.114--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.672 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:7.672 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.154
250000250000001445.518


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-15T00:00:00ANONYMOUSv4_computersC8A16B383B35C1__0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T21:32:37Oliver KruseOllaptop
7113303032581454850727
B6CE1F9AC8E75F__no
2017-09-23T17:11:07Oliver KruseManual testing
7113303032581454850727
B6CE1F9AC8E75F__no
2017-10-13T03:19:59Oliver KruseGTX-1B6CE1F9AC8E75F__no
2017-12-12T20:12:21ATHxps
7113303032581454850727
B6CE1F9AC8E75F__no
2020-04-18T15:11:33Oliver KruseAddPrpType5
7113303032581454850727
EFBACFA79F1A72__no


P-1 factor-bounds graph:
B1 = 20000000, B2 = 1820000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 337609 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T06:36:43+00:00