is 2 6457453 - 1
has 1943888 decimal digits
takes 1.210 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6D9FC058318AAFF3double-checked
PRP1542986F1FF4A94CPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272148.097768.0556%100000088038720013.29297.4892%161.390570.4480%2.3924%
PrimeNet2620.095162.9032%280006500000.01683.4857%0.112064.1963%1.2931%
GPU722662.287065.1515%4500010000000.02642.5764%2.313466.0493%0.8978%
Difference+6+145.8106+2.9040%+955000+879387200+13.2665+4.9129%+159.0771+4.3986%+1.4946%

Known prime factors (1 factor, 138.5 bits, 0.00214502% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
645745349757872611783114382606494890950607246976742138.51438527475625283772396490144714139311
33 × 292 × 191 × 317 × 2729 × 8443 × 26227 × 521377 × 88944143
2022-01-03521377889441432.593e+101.45102.4598

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-02-18T00:00:00vidmarv4_computers30000277500---0.012--0.701%
2001-06-17T00:00:00John Churchillv4_computers30000292500---0.012--0.714%
2014-09-10T14:09:00Nesowanewfs3950009973750---0.249--3.223%
2022-01-03T18:55:38Architects Cubedburrow100000088038720042138.51413.292.42126.597.489%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-05T00:00:00ANONYMOUSv4_computers21261--0.048--
1998-07-21T00:00:00ANONYMOUSv4_computers21261--0.048--
1998-12-21T00:00:00PhillTv4_computers21262--0.095--
2016-02-23T16:39:25Mark RoseManual testing262263--0.152--
2014-08-02T07:16:00NesowaManual testing263264--0.304--
2014-08-06T18:58:00lycornManual testing264265--0.579--
2015-10-25T20:17:41snme2pm1Manual testing265266--1.157--
2016-04-08T11:36:55Gordon SpenceManual testing266267--2.314--
2018-06-06T15:03:44ramgeisManual testing267268--4.629--
2020-05-20T23:30:24takahashiManual testing268269--9.258--
2021-03-09T23:45:36takahashiManual testing269270--18.52--
2021-08-16T15:36:37SRBaseManual testing270271--37.03--
2021-10-08T19:27:39SRBaseManual testing271272--74.06--


ECM factoring results:
Total ECM effort:1.710 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.710


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computers235D38CD81FD05__1.210
2001-04-01T00:00:00vidmarv4_computers6D9FC058318AAFF31.210
2001-08-12T00:00:00John Churchillv4_computers6D9FC058318AAFF31.210


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-09T14:39:30kutensterra
497578726117831143826064948909506072469767
1542986F1FF4A94Cno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 880387200 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 395000, B2 = 9973750 (P-1 stage 2)
B1 = 395000 (P-1 stage 1)
B1 = 30000, B2 = 292500 (P-1 stage 2)
B1 = 30000, B2 = 277500 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-09T14:39:30+00:00