is 2 2617831 - 1
has 788046 decimal digits
takes 0.202 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L15E1E3DB97B27ED4double-checked
PRP6BA02C9BF4650F42verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26945.605268.1159%2617831261783100.43695.6942%46.042269.9315%1.8155%
PrimeNet2590.029362.7119%110002000000.00242.6983%0.031763.7180%1.0061%
GPU722630.609765.0794%120002000000.00251.5324%0.612265.6145%0.5351%
Difference+6+44.9956+3.0366%+2605831+25978310+0.4344+4.1618%+45.4300+4.3170%+4.3170%

Known prime factors (1 factor, 85.3 bits, 0.00325701% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2617831464225860798069711882493832685.2638866612489463027061
3 × 7 × 73 × 101 × 57265650665317
2021-09-29101572656506653175,183,707349,415652,610

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.192%
2003-11-08T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.667%
2010-11-17T22:12:00Jocelyn LaroucheManual testing2000020000---0.002--0.223%
2010-12-12T18:15:00markrtiny1000002125000---0.024--2.194%
2014-10-12T23:56:00Jocelyn LaroucheManual testing124518124518---0.014--0.819%
2016-05-24T01:15:57Jocelyn LaroucheManual testing20000036000006---0.043--2.826%
2017-07-20T22:03:19Jocelyn Larouchelow 4M40000040000006---0.067--3.195%
2019-10-14T15:57:30masserManual testing26178312617831012---0.437--5.694%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:17Mark RoseManual testing259260--0.029--
2009-02-01T05:56:00Sturle Sundegonsha.ifi260261--0.059--
2012-06-19T12:46:00markroldgamer261262--0.117--
2013-01-14T11:57:00dbaughManual testing262263--0.375--
2015-02-18T11:41:00VictordeHollanderManual testing263264--0.750--
2015-02-18T11:41:00VictordeHollanderManual testing264265--1.427--
2016-01-17T23:07:14ramgeisManual testing265266--2.855--
2017-08-30T11:24:05Gordon SpenceManual testing266267--5.709--
2019-04-15T13:43:01TJAOIManual testing267268--11.42--
2021-05-19T10:50:04TJAOIManual testing268269--22.84--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.962 GHz-days
Estimated T-Level:22.143
DigitsB1CurvesCompleteFacMiss
2011000120 / 1001.20029.938%
2550000120 / 2800.42965.094%

New Calculation Method

Total ECM effort:12.962 GHz-days
Estimated T-Level:22.143
DigitsB1CompleteFacMiss
20110003.9791.871%
25500000.36369.531%
302500000.02397.757%
3510000000.00199.894%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010010.31
50000500000010.103
500006750000141.658
766201000000050.893


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computers15E1E3DB97B27ED40.202
1999-11-10T00:00:00ANONYMOUSv4_computers15E1E3DB97B27ED40.202


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-29T09:45:24SRJ2877LTOS
46422586079806971188249383
6BA02C9BF4650F42no


P-1 factor-bounds graph:
B1 = 2617831, B2 = 26178310 (P-1 stage 2)
B1 = 2617831 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 124518 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-09-29T09:45:24+00:00