is 2 345997 - 1
has 104156 decimal digits
takes 0.003 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBCD7849A198DE395double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26785.879171.6418%6000000030000000003.095013.2550%88.974275.4007%3.7589%
PrimeNet2400.000052.5000%34001000000.000116.2446%0.000160.2162%7.7162%
GPU722440.000056.8182%60001700000.000212.0242%0.000262.0104%5.1923%
Difference+23+85.8791+14.8236%+59994000+2999830000+3.0948+1.2309%+88.9740+13.3903%+13.3903%

Known prime factors (1 factor, 92.5 bits, 0.02674635% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34599772075748200896691639931213212892.54210415660858460722439780
22 × 3 × 5 × 317 × 14551 × 23117 × 1627991017
2016-10-272311716279910175.685e+91.24712.3287

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-08T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.415%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.003--1.646%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.353%
2003-04-03T00:00:00ANONYMOUSv4_computers13107213107200---0.012--3.188%
2006-01-15T00:00:00Jocelyn Larouchev4_computers345997345997---0.005--1.301%
2010-05-05T06:13:00Budannan10000000200000000---0.286--8.503%
2016-10-27T16:52:01mikrS052600000003000000000122892.5423.0950.0076.19013.255%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:36:54LordJuliusManual testing254255--0.007--
2001-03-11T00:00:00ANONYMOUSv4_computers21256--0.028--
2002-02-24T00:00:00ANONYMOUSv4_computers21257--0.055--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.111--
2008-12-31T07:55:00Sturle Sundegolli.ifi258259--0.111--
2009-01-27T17:29:00Sturle Sundegimo.ifi259260--0.222--
2013-06-29T18:36:00Sid & AndyBuzz260261--0.444--
2015-07-25T08:48:00NRManual testing261262--0.888--
2015-12-17T22:31:17Gordon SpenceManual testing262263--2.837--
2015-12-17T22:31:17Gordon SpenceManual testing263264--5.674--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.449 GHz-days
Estimated T-Level:26.117
DigitsB1CurvesCompleteFacMiss
2011000427 / 1004.2701.368%
2550000427 / 2801.52521.703%
30250000143 / 6400.22379.963%

New Calculation Method

Total ECM effort:10.449 GHz-days
Estimated T-Level:26.117
DigitsB1CompleteFacMiss
201100021.0780.000%
25500002.5517.801%
302500000.23778.904%
3510000000.01898.235%
4030000000.00199.888%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002842.971
250000250000001437.479


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03T00:00:00ANONYMOUSv4_computersBCD7849A198DE3950.003


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T23:17:14Oliver KruseOllaptop
7207574820089669163993121321
62C3AB758BACB2__no
2017-09-23T17:11:31Oliver KruseManual testing
7207574820089669163993121321
62C3AB758BACB2__no
2017-10-13T04:25:11Oliver KruseGTX-362C3AB758BACB2__no
2017-12-13T06:54:56ATHxps
7207574820089669163993121321
62C3AB758BACB2__no
2020-04-18T08:55:15Oliver KruseAddPrpType5
7207574820089669163993121321
E985109756F1F7__no


P-1 factor-bounds graph:
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 60000000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 345997 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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1010
TF factor-bounds graph:
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Last modified: 2022-03-07T06:36:54+00:00