is 2 1057741 - 1
has 318412 decimal digits
takes 0.031 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L90EDF47029A97085double-checked
PRPF75393546F2490F6PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271451.980570.4225%2400000080299695630188.994714.7439%640.975274.7834%4.3609%
PrimeNet2560.009162.5000%4500650000.00032.0108%0.009463.2541%0.7541%
GPU722600.145265.0000%4500190000.00020.6344%0.145465.2220%0.2220%
Difference+11+451.8353+5.4225%+23995500+80299676630+188.9945+14.1095%+640.8298+9.5614%+4.1388%

Known prime factors (1 factor, 132.8 bits, 0.01255441% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1057741943426684114023041810207505419726453752740132.7934459629928848475391472049894159943
17 × 307 × 1259 × 81559 × 648841 × 2459059 × 5215628723
2022-04-30245905952156287231.650e+1112.31222.809

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-28T00:00:00Jocelyn Larouchev4_computers1001000---6.40496e-6--0.000%
2012-01-04T11:36:00bcp19Toshiba-740Q20000010000000---0.032--2.478%
2014-08-07T10:52:00Jocelyn LaroucheManual testing260680260680---0.011--0.808%
2014-10-19T12:31:00Jocelyn LaroucheManual testing321360321360---0.014--0.905%
2015-10-16T13:18:57Bruno Victal5820K-linux5000001500000012---0.055--3.180%
2016-03-23T10:52:43Jocelyn LaroucheManual testing901779901779---0.039--1.491%
2016-03-29T22:08:08Jocelyn LaroucheManual testing10821341082134---0.047--1.613%
2016-05-20T17:46:35Bruno Victal4790K-windows25000006250000012---0.248--5.085%
2018-04-04T11:40:56Jocelyn Larouchelow 4M110213411021340012---0.303--5.093%
2018-11-13T13:00:16Jocelyn LaroucheManual testing110213412692892012---0.342--5.207%
2022-02-28T12:40:40mognutsStrand1140002623691070---6.148--5.090%
2022-04-29T15:43:59axnManual testing240000008029969563040132.793189.00.063378.014.744%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-17T00:00:00ANONYMOUSv4_computers21257--0.018--
2016-02-23T16:28:20Mark RoseManual testing257260--0.127--
2009-02-15T10:52:00Sturle Sundegonzo.ifi260261--0.145--
2010-11-13T23:54:00Michael CManual testing261262--0.290--
2012-10-07T08:33:00dbaughManual testing262263--0.928--
2013-04-19T23:49:00Never Odd Or EvenManual testing263264--1.856--
2013-04-19T23:49:00Never Odd Or EvenManual testing264265--3.532--
2013-04-19T23:49:00Never Odd Or EvenManual testing265266--7.065--
2013-04-19T23:49:00Never Odd Or EvenManual testing266267--14.13--
2013-04-19T23:49:00Never Odd Or EvenManual testing267268--28.26--
2014-01-12T12:18:00Never Odd Or EvenManual testing268269--56.52--
2014-01-12T12:18:00Never Odd Or EvenManual testing269270--113.0--
2014-04-01T16:45:00Never Odd Or EvenManual testing270271--226.1--


ECM factoring results:
Total ECM effort:17.473 GHz-days
Estimated T-Level:25.653
DigitsB1CompleteFacMiss
201100014.8320.000%
25500001.61619.863%
302500000.13187.755%
3510000000.00999.139%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002849.94
25000025000000437.528


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-12-31T00:00:00ANONYMOUSv4_computers90EDF47029A970850.031
2016-06-01T18:47:26MadPooManual testing90EDF47029A970850.031


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-02T22:35:07Ethan O'ConnorManual testingF75393546F2490F6no
2022-04-30T03:43:27aperson12012_VP113
9434266841140230418102075054197264537527
F75393546F2490F6no


P-1 factor-bounds graph:
B1 = 24000000, B2 = 80299695630 (P-1 stage 2)
B1 = 114000, B2 = 2623691070 (P-1 stage 2)
B1 = 24000000 (P-1 stage 1)
B1 = 1102134, B2 = 126928920 (P-1 stage 2)
B1 = 1102134, B2 = 110213400 (P-1 stage 2)
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1102134 (P-1 stage 1)
B1 = 1082134 (P-1 stage 1)
B1 = 901779 (P-1 stage 1)
B1 = 200000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 321360 (P-1 stage 1)
B1 = 260680 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 114000 (P-1 stage 1)
B1 = 100, B2 = 1000 (P-1 stage 2)
B1 = 100 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-30T03:43:27+00:00