is 2 2123087 - 1
has 639113 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LB7737D798712375Adouble-checked
PRP0BA4A23F82F60B__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.074667.6471%25000001250000000.87467.9070%28.949370.2052%2.5581%
PrimeNet2580.018162.0690%90001600000.00162.6833%0.019763.0868%1.0178%
GPU722620.289464.5161%100001400000.00161.4545%0.291065.0323%0.5161%
Difference+6+27.7853+3.1309%+2490000+124860000+0.8730+6.4524%+28.6583+5.1729%+5.1729%

Known prime factors (1 factor, 72.7 bits, 0.00342201% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
212308774215249399979302341772272.6521747814606749024
25 × 11 × 1523 × 3260264219
2020-10-2615233260264219755.0916.93531.629

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.224%
2009-08-03T14:50:00harleeP4_260020000265000---0.003--0.884%
2011-01-01T00:56:00Jocelyn LaroucheManual testing3000030000---0.003--0.352%
2011-01-11T22:55:00Jocelyn LaroucheManual testing5000050000---0.005--0.511%
2011-01-24T09:54:00James Heinrichi7-9201400003045000---0.028--2.778%
2016-06-24T05:32:52Jocelyn LaroucheManual testing210000609000012---0.051--3.462%
2017-08-19T15:19:13Jocelyn Larouchelow 4M42000042000006---0.060--3.510%
2017-08-28T16:38:41mikrMSI250000012500000012---0.875--7.907%
2017-08-30T00:32:07Jocelyn Larouchelow 4M50400050400006---0.072--3.736%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.054--
2009-01-03T19:58:00Sturle Sundegobi.ifi260261--0.072--
2012-04-02T20:47:00Sebastian HornbostelManual testing261262--0.145--
2013-09-06T08:31:00ramgeisManual testing262263--0.462--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.925--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.760--
2015-10-26T20:11:48omylistManual testing265266--3.520--
2016-10-15T17:13:26Gordon SpenceManual testing266267--7.040--
2019-05-06T12:23:36TJAOIManual testing267268--14.08--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.238 GHz-days
Estimated T-Level:22.321
DigitsB1CurvesCompleteFacMiss
2011000130 / 1001.30027.075%
2550000130 / 2800.46462.806%

New Calculation Method

Total ECM effort:11.238 GHz-days
Estimated T-Level:22.321
DigitsB1CompleteFacMiss
20110004.2171.475%
25500000.38268.234%
302500000.02497.666%
3510000000.00199.891%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012810.91
50000500000010.085
766202417689010.246


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersB7737D798712375A0.140
2018-04-04T16:00:51kkmrkkblmbrbkoldB7737D798712375A0.140


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-30T18:36:23mrhp
7421524939997930234177
0BA4A23F82F60B__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 504000, B2 = 5040000 (P-1 stage 2)
B1 = 420000, B2 = 4200000 (P-1 stage 2)
B1 = 210000, B2 = 6090000 (P-1 stage 2)
B1 = 504000 (P-1 stage 1)
B1 = 420000 (P-1 stage 1)
B1 = 140000, B2 = 3045000 (P-1 stage 2)
B1 = 210000 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 265000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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1010
TF factor-bounds graph:
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Last modified: 2020-11-09T21:38:28+00:00