is 2 2503211 - 1
has 753542 decimal digits
takes 0.174 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE970B7BA465E2D7Cdouble-checked
PRP2462E11414C77025verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26947.693568.1159%30000001350000001.02507.6087%48.718570.5419%2.4260%
PrimeNet2590.030762.7119%100001800000.00192.5385%0.032663.6584%0.9466%
GPU722630.637665.0794%110001700000.00201.4078%0.639665.5710%0.4916%
Difference+6+47.0559+3.0366%+2989000+134830000+1.0230+6.2008%+48.0789+4.9709%+4.9709%

Known prime factors (1 factor, 88.9 bits, 0.00355015% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25032115647729401237448931104065112788.868112809695252167095205
5 × 457137767 × 49354791223
2021-10-294571377674935479122344,365,871313.91505.11

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.189%
2003-10-31T00:00:00Team Prime Ribv4_computers15000236250---0.003--0.678%
2010-12-16T22:40:00Jocelyn LaroucheManual testing2000020000---0.002--0.221%
2011-01-01T00:57:00Jocelyn LaroucheManual testing3000030000---0.003--0.309%
2011-01-04T22:09:00Jocelyn LaroucheManual testing5000050000---0.005--0.452%
2011-03-01T16:58:00James Heinrichi7-9203000008000000---0.072--3.561%
2017-11-01T21:31:21Jocelyn Larouchelow 4M60000060000006---0.090--3.656%
2018-04-06T07:28:30mikrMSI300000013500000012---1.025--7.609%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:15Mark RoseManual testing259260--0.031--
2009-01-29T23:20:00Sturle Sundeginjtje.ifi260261--0.061--
2012-06-12T09:42:00Sebastian HornbostelManual testing261262--0.123--
2013-01-14T11:53:00dbaughManual testing262263--0.392--
2015-02-18T11:36:00VictordeHollanderManual testing263264--0.784--
2015-02-18T11:36:00VictordeHollanderManual testing264265--1.493--
2015-11-04T09:56:24ramgeisManual testing265266--2.985--
2017-07-29T10:09:20Gordon SpenceManual testing266267--5.971--
2019-05-20T13:24:26TJAOIManual testing267268--11.94--
2021-06-21T08:54:31TJAOIManual testing268269--23.88--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.261 GHz-days
Estimated T-Level:22.554
DigitsB1CurvesCompleteFacMiss
2011000143 / 1001.43023.759%
2550000143 / 2800.51159.952%

New Calculation Method

Total ECM effort:13.261 GHz-days
Estimated T-Level:22.554
DigitsB1CompleteFacMiss
20110004.6440.962%
25500000.41965.777%
302500000.02697.453%
3510000000.00199.882%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011910.94
50000500000030.276
500005150000141.304
50000675000070.739


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00ANONYMOUSv4_computersE970B7BA465E2D7C0.174
1999-04-13T00:00:00ANONYMOUSv4_computersE970B7BA465E2D7C0.174
1999-05-09T00:00:00ANONYMOUSv4_computersE970B7BA465E2D7C0.174
2018-06-02T22:04:05kkmrkkblmbrbkoldE970B7BA465E2D7C0.174


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-31T12:31:30SRJ2877LTOS
564772940123744893110406511
2462E11414C77025no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 135000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 236250 (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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102
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1010
1011
TF factor-bounds graph:
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266
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Last modified: 2021-10-31T12:31:30+00:00