is 2 2451011 - 1
has 737828 decimal digits
takes 0.166 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD1D76D201634B933double-checked
PRP3968A2F2F14DC9F0verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26948.709268.1159%1172000480000000.36475.8886%49.073969.9935%1.8775%
PrimeNet2590.031362.7119%100001800000.00192.5285%0.033263.6547%0.9428%
GPU722630.651265.0794%100001600000.00181.3335%0.652965.5450%0.4657%
Difference+6+48.0580+3.0366%+1162000+47840000+0.3629+4.5551%+48.4210+4.4484%+4.4484%

Known prime factors (1 factor, 78.2 bits, 0.00319114% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24510113508300090764278039361132478.21571568428105061096
23 × 3 × 11 × 19 × 14268027931631
2021-12-09191426802793163130,68576,147142,221

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.188%
2003-10-31T00:00:00Team Prime Ribv4_computers15000232500---0.003--0.672%
2010-12-15T23:00:00Jocelyn LaroucheManual testing2000020000---0.002--0.220%
2011-01-18T13:55:00Oscar Östlin950001947500---0.019--2.103%
2014-02-01T03:43:00mikrMSI117200048000000---0.365--5.889%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:14Mark RoseManual testing259260--0.031--
2009-01-14T21:05:00Sturle Sundewright.ifi260261--0.063--
2012-06-07T07:42:00Sebastian HornbostelManual testing261262--0.125--
2013-12-04T21:13:00Jerry HallettManual testing262263--0.401--
2015-02-27T20:41:00VictordeHollanderManual testing263264--0.801--
2015-02-27T20:41:00VictordeHollanderManual testing264265--1.524--
2015-10-25T20:35:04ramgeisManual testing265266--3.049--
2017-07-14T10:08:12Gordon SpenceManual testing266267--6.098--
2019-07-17T09:51:52TJAOIManual testing267268--12.20--
2021-06-10T09:21:51TJAOIManual testing268269--24.39--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.571 GHz-days
Estimated T-Level:22.661
DigitsB1CurvesCompleteFacMiss
2011000150 / 1001.50022.145%
2550000149 / 2800.53258.679%

New Calculation Method

Total ECM effort:13.571 GHz-days
Estimated T-Level:22.661
DigitsB1CompleteFacMiss
20110004.8690.768%
25500000.44164.363%
302500000.02797.322%
3510000000.00199.876%


ECM Summary

B1B2factorcurvesGHz-days
47000470000010.084
50000500000012811.43
50000500000070.625
500006750000141.434


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computersD1D76D201634B9330.166
2018-05-26T06:15:19kkmrkkblmbrbkoldD1D76D201634B9330.166


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-10T10:44:32Tucker KaoOld_Timer_2013
350830009076427803936113
3968A2F2F14DC9F0no


P-1 factor-bounds graph:
B1 = 1172000, B2 = 48000000 (P-1 stage 2)
B1 = 1172000 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 232500 (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: 2021-12-10T10:44:32+00:00