is 2 2543797 - 1
has 765760 decimal digits
takes 0.176 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5DF2B0AC762CD4A9double-checked
PRP75E0AF744CFAB4B0verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.431567.6471%30000001350000001.02508.2627%24.456570.3203%2.6732%
PrimeNet2590.030262.7119%110002000000.00212.6841%0.032363.7127%1.0008%
GPU722630.627465.0794%120001800000.00211.4773%0.629565.5952%0.5159%
Difference+5+22.8040+2.5677%+2988000+134820000+1.0229+6.7854%+23.8269+4.7250%+4.7250%

Known prime factors (1 factor, 68.7 bits, 0.00270074% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25437974799126899575262397272168.70194329989766779
13 × 97 × 74805701639
2021-04-11977480570163941.434409.90765.58

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.236%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.755%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.265%
2011-01-03T01:03:00Jocelyn LaroucheManual testing3000030000---0.003--0.366%
2011-01-08T14:34:00Jocelyn LaroucheManual testing5000050000---0.005--0.531%
2011-03-04T20:21:00James Heinrichi7-9203000008000000---0.072--3.959%
2018-08-13T10:35:02Jocelyn Larouchelow 4M60000060000006---0.090--4.048%
2018-09-22T12:03:03mikrMSI300000013500000012---1.025--8.263%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00Brap_Onv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-31T19:48:00Sturle Sundeaalto.ifi260261--0.060--
2012-06-15T14:43:00Sebastian HornbostelManual testing261262--0.121--
2013-11-09T15:28:00lycornsnail262263--0.386--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.772--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.469--
2015-11-08T21:03:14ramgeisManual testing265266--2.938--
2017-08-08T13:42:10Gordon SpenceManual testing266267--5.875--
2019-04-01T13:34:43TJAOIManual testing267268--11.75--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.416 GHz-days
Estimated T-Level:22.018
DigitsB1CurvesCompleteFacMiss
2011000113 / 1001.13032.120%
2550000113 / 2800.40466.745%

New Calculation Method

Total ECM effort:10.416 GHz-days
Estimated T-Level:22.018
DigitsB1CompleteFacMiss
20110003.6452.612%
25500000.32971.932%
302500000.02097.992%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010910.05
50000500000040.369


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computers5DF2B0AC762CD4A90.176
2018-06-10T20:07:34kkmrkkblmbrbkold5DF2B0AC762CD4A90.176


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-12T04:18:21Luigi Morelli9800
479912689957526239727
75E0AF744CFAB4B0no


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 = 198750 (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: 2021-04-12T04:18:21+00:00