is 2 346601 - 1
has 104338 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-LEC36027BDB288CBDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26785.729571.6418%100000002000000000.28618.5048%86.015574.0536%2.4118%
PrimeNet2400.000052.5000%34001000000.000116.2483%0.000160.2179%7.7179%
GPU722440.000056.8182%60001700000.000212.0271%0.000262.0117%5.1935%
Difference+23+85.7295+14.8236%+9994000+199830000+0.2859-3.5223%+86.0153+12.0419%+12.0419%

Known prime factors (1 factor, 85.1 bits, 0.02454607% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
346601408047641867081204078664572685.07758864175502534788428
22 × 7 × 2102291982233385301
2015-12-037210229198223338530137,130,8851.610e+93.007e+9

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--1.647%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.354%
2003-04-03T00:00:00ANONYMOUSv4_computers13107213107200---0.012--3.189%
2006-01-15T00:00:00Jocelyn Larouchev4_computers346601346601---0.005--1.303%
2010-05-21T07:18:00Budannan10000000200000000---0.286--8.505%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:36:56LordJuliusManual 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--
2008-12-30T15:53:00Sturle Sundegoldiek.ifi258259--0.111--
2009-01-25T13:21:00Sturle Sundegoscha.ifi259260--0.222--
2013-06-25T14:18:00Sid & AndyBuzz260261--0.443--
2015-07-25T08:48:00NRManual testing261262--0.886--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.460 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:10.460 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100021.0320.000%
25500002.5517.798%
302500000.23878.858%
3510000000.01898.228%
4030000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002802.929
250000250000001417.375
2500002500000030.157


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03T00:00:00ANONYMOUSv4_computersEC36027BDB288CBD0.003


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T23:25:37Oliver KruseOllaptop
40804764186708120407866457
EE07D68B6FD632__no
2017-09-23T17:11:32Oliver KruseManual testing
40804764186708120407866457
EE07D68B6FD632__no
2017-10-13T04:31:03Oliver KruseGTX-2EE07D68B6FD632__no
2017-12-13T07:47:40ATHxps
40804764186708120407866457
EE07D68B6FD632__no
2020-04-18T08:55:18Oliver KruseAddPrpType5
40804764186708120407866457
8F1E4DA371B8C0__no


P-1 factor-bounds graph:
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 = 346601 (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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TF factor-bounds graph:
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Last modified: 2022-03-07T06:36:56+00:00