is 2 2076967 - 1
has 625230 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L8E3002AD818FE921double-checked
PRP79081F2398A3EC__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26957.481369.5652%40000002000000001.39948.1089%58.880772.0331%2.4679%
PrimeNet2580.018563.7931%90001600000.00162.6722%0.020164.7606%0.9675%
GPU722620.295866.1290%90001300000.00151.3673%0.297366.5922%0.4631%
Difference+7+57.1855+3.4362%+3991000+199870000+1.3979+6.7415%+58.5835+5.4410%+5.4410%

Known prime factors (1 factor, 77.8 bits, 0.00374568% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20769672624774824437751655912892477.79763187687248708132
22 × 33 × 11 × 151 × 352240324039
2021-12-1315135224032403921,4741,829.63,417.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.179%
2009-07-25T12:43:00harleeP4_260020000260000---0.003--0.751%
2010-12-28T02:15:00Jocelyn LaroucheManual testing3000030000---0.003--0.296%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.435%
2011-01-21T01:26:00James HeinrichQ66001350003071250---0.028--2.455%
2014-11-10T23:29:00Jocelyn LaroucheManual testing165903165903---0.016--0.925%
2015-01-29T22:02:00Jocelyn LaroucheManual testing207378207378---0.020--1.044%
2015-01-30T21:42:00Jocelyn LaroucheManual testing228115228115---0.022--1.098%
2015-02-01T13:32:00Jocelyn LaroucheManual testing250926250926---0.024--1.153%
2015-02-02T07:32:00Jocelyn LaroucheManual testing276018276018---0.026--1.211%
2015-02-12T12:33:00Jocelyn LaroucheManual testing444526444526---0.042--1.522%
2015-02-14T12:30:00Jocelyn LaroucheManual testing537875537875---0.051--1.659%
2015-02-16T20:56:00Jocelyn LaroucheManual testing591662591662---0.056--1.730%
2015-02-25T03:47:00Jocelyn LaroucheManual testing650828650828---0.062--1.802%
2015-03-03T20:46:00Jocelyn LaroucheManual testing715910715910---0.068--1.877%
2015-03-12T10:39:00Jocelyn LaroucheManual testing787501787501---0.075--1.953%
2015-03-15T18:55:00Jocelyn LaroucheManual testing866251866251---0.083--2.031%
2015-04-08T16:59:00Jocelyn LaroucheManual testing10481631048163---0.100--2.192%
2015-05-01T17:21:00Jocelyn LaroucheManual testing12682761268276---0.121--2.360%
2015-05-07T16:19:00Jocelyn LaroucheManual testing13951031395103---0.133--2.446%
2015-05-22T00:29:00Jocelyn LaroucheManual testing15346131534613---0.146--2.535%
2015-05-26T18:17:00Jocelyn LaroucheManual testing16880741688074---0.161--2.625%
2015-06-08T13:43:00Jocelyn LaroucheManual testing18568811856881---0.177--2.716%
2015-06-25T21:15:00Jocelyn LaroucheManual testing20425692042569---0.195--2.810%
2015-07-07T18:13:00Jocelyn LaroucheManual testing22468252246825---0.214--2.905%
2016-07-07T00:37:33Jocelyn LaroucheManual testing224682544936506---0.226--3.626%
2016-09-26T02:47:45Jocelyn Larouchelow 4M224682589873006---0.249--4.354%
2018-02-25T22:37:40Jocelyn Larouchelow 4M2256825898730012---0.250--4.355%
2019-09-14T03:35:02mikrMSI400000020000000012---1.399--8.109%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:04Mark RoseManual testing258260--0.055--
2009-01-02T13:58:00Sturle Sundehummel.ifi260261--0.074--
2012-03-16T20:48:00Sebastian HornbostelManual testing261262--0.148--
2013-09-01T20:21:00ramgeisManual testing262263--0.473--
2015-03-28T18:03:00VictordeHollanderManual testing263264--0.945--
2015-03-28T18:03:00VictordeHollanderManual testing264265--1.799--
2015-11-05T09:47:16ramgeisManual testing265266--3.598--
2016-09-10T20:44:41Gordon SpenceManual testing266267--7.196--
2019-03-29T01:44:37chuenkitManual testing267268--14.39--
2021-07-29T11:14:30TJAOIManual testing268269--28.78--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.325 GHz-days
Estimated T-Level:23.607
DigitsB1CurvesCompleteFacMiss
2011000202 / 1002.02013.131%
2550000202 / 2800.72148.543%

New Calculation Method

Total ECM effort:17.325 GHz-days
Estimated T-Level:23.607
DigitsB1CompleteFacMiss
20110006.5390.145%
25500000.59255.314%
302500000.03796.411%
3510000000.00299.832%


ECM Summary

B1B2factorcurvesGHz-days
50000500000019716.74
50000500000040.340
766202417689010.244


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers8E3002AD818FE9210.137
2017-06-06T03:36:28kkmrkkblmbrbkc4.large8E3002AD818FE9210.137


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-13T16:22:43SRJ2877LTOS
262477482443775165591289
79081F2398A3EC__no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 2256825, B2 = 8987300 (P-1 stage 2)
B1 = 2246825, B2 = 8987300 (P-1 stage 2)
B1 = 2246825, B2 = 4493650 (P-1 stage 2)
B1 = 2256825 (P-1 stage 1)
B1 = 2246825 (P-1 stage 1)
B1 = 2042569 (P-1 stage 1)
B1 = 1856881 (P-1 stage 1)
B1 = 1688074 (P-1 stage 1)
B1 = 1534613 (P-1 stage 1)
B1 = 1395103 (P-1 stage 1)
B1 = 1268276 (P-1 stage 1)
B1 = 1048163 (P-1 stage 1)
B1 = 866251 (P-1 stage 1)
B1 = 787501 (P-1 stage 1)
B1 = 715910 (P-1 stage 1)
B1 = 650828 (P-1 stage 1)
B1 = 591662 (P-1 stage 1)
B1 = 537875 (P-1 stage 1)
B1 = 444526 (P-1 stage 1)
B1 = 135000, B2 = 3071250 (P-1 stage 2)
B1 = 276018 (P-1 stage 1)
B1 = 250926 (P-1 stage 1)
B1 = 228115 (P-1 stage 1)
B1 = 207378 (P-1 stage 1)
B1 = 165903 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (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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TF factor-bounds graph:
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Last modified: 2021-12-13T16:22:43+00:00