is 2 2541697 - 1
has 765128 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-L48A18FCC133B6B5Cdouble-checked
PRP66B1354EBCA35458verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26946.971368.1159%30000001350000001.02507.6203%47.996370.5456%2.4296%
PrimeNet2590.030262.7119%110002000000.00212.6836%0.032463.7125%1.0007%
GPU722630.627965.0794%120001800000.00211.4771%0.630165.5952%0.5158%
Difference+6+46.3434+3.0366%+2988000+134820000+1.0229+6.1432%+47.3663+4.9504%+4.9504%

Known prime factors (1 factor, 85.3 bits, 0.00335602% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2541697476238954439609114181720232685.3009368523361352850363
32 × 17 × 17659 × 3467477140969
2021-07-301765934674771409695,687,30519,00035,487

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.190%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.644%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.222%
2011-01-02T14:09:00Jocelyn LaroucheManual testing3000030000---0.003--0.310%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.454%
2011-04-08T02:12:00James HeinrichWHS3000008000000---0.072--3.568%
2018-08-11T22:21:48Jocelyn Larouchelow 4M60000060000006---0.090--3.663%
2018-09-08T07:46:54mikrMSI300000013500000012---1.025--7.620%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-27T20:51:00Sturle Sundeginy.ifi260261--0.060--
2012-06-15T11:43:00Sebastian HornbostelManual testing261262--0.121--
2013-01-14T11:53:00dbaughManual testing262263--0.386--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.772--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.470--
2015-11-08T21:03:14ramgeisManual testing265266--2.940--
2017-08-08T13:42:10Gordon SpenceManual testing266267--5.880--
2019-04-15T13:43:01TJAOIManual testing267268--11.76--
2021-06-21T08:54:21TJAOIManual testing268269--23.52--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.743 GHz-days
Estimated T-Level:22.250
DigitsB1CurvesCompleteFacMiss
2011000126 / 1001.26028.186%
2550000126 / 2800.45063.711%

New Calculation Method

Total ECM effort:11.743 GHz-days
Estimated T-Level:22.250
DigitsB1CompleteFacMiss
20110004.8780.761%
25500000.45163.688%
302500000.02897.192%
3510000000.00199.867%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011610.69
50000665000070.735
50000675000030.317


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00jbaffordv4_computers48A18FCC133B6B5C0.176
2018-06-10T00:33:24kkmrkkblmbrbkold48A18FCC133B6B5C0.176


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-01T07:10:00GURA LOVE
47623895443960911418172023
66B1354EBCA35458no


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: 2021-08-01T07:10:00+00:00