is 2 3538979 - 1
has 1065339 decimal digits
takes 0.372 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8DA3DD57C78DC9D9double-checked
PRP034877A7912C483Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272270.228769.4444%5000001303648501.15374.8740%271.382370.9337%1.4893%
PrimeNet2600.043463.3333%150003000000.00462.9662%0.048064.4209%1.0876%
GPU722641.005865.6250%200003600000.00591.9193%1.011666.2848%0.6598%
Difference+8+269.2229+3.8194%+480000+130004850+1.1478+2.9547%+270.3707+4.6490%+4.6490%

Known prime factors (1 factor, 82.8 bits, 0.00233964% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
353897984147660995385852481645672582.7991188869176609777177
478741 × 857249 × 2896853
2021-06-278572492896853519,8040.14750.2657

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:17:00Carsten Kossendeyleela20000245000---0.005--0.515%
2011-11-25T15:15:00harleeP4_260060000990000---0.017--1.138%
2014-08-07T10:52:00Jocelyn LaroucheManual testing7813678136---0.012--0.417%
2014-11-17T02:17:00Jocelyn LaroucheManual testing9627296272---0.015--0.480%
2015-12-12T01:17:22Squeeky_SquirrelP4_260017500046375006---0.064--2.173%
2016-09-26T04:18:04Jocelyn Larouchelow 4M29700055650006---0.089--2.500%
2022-03-01T15:48:09Jocelyn LaroucheManual testing100000100000---0.015--0.492%
2022-05-05T11:17:31Jocelyn LaroucheManual testing500000130364850---1.154--4.874%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-06T00:00:00ANONYMOUSv4_computers21260--0.043--
2009-03-17T13:56:00S485122USB-A260261--0.043--
2011-06-28T20:18:00markrManual testing21262--0.174--
2012-06-20T01:20:00GrunwalderGIMPManual testing21263--0.451--
2016-02-23T16:29:32Mark RoseManual testing262263--0.277--
2015-01-27T16:52:00VictordeHollanderManual testing263264--0.555--
2015-01-27T16:52:00VictordeHollanderManual testing264265--1.056--
2016-03-03T09:33:34ramgeisManual testing265266--2.112--
2017-01-14T00:58:55Gordon SpenceManual testing266267--4.223--
2018-11-12T14:47:31TJAOIManual testing267268--8.446--
2021-01-22T02:04:00axnManual testing268269--16.89--
2021-03-18T11:37:06-Anonymous-Manual testing269270--33.78--
2021-03-18T11:37:06-Anonymous-Manual testing270271--67.57--
2021-03-19T16:52:22-Anonymous-Manual testing271272--135.1--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.581 GHz-days
Estimated T-Level:1.200
DigitsB1CurvesCompleteFacMiss
201100024 / 1000.24078.568%
255000024 / 2800.08691.772%

New Calculation Method

Total ECM effort:3.581 GHz-days
Estimated T-Level:1.200
DigitsB1CompleteFacMiss
20110000.92639.607%
25500000.08691.772%
302500000.00599.460%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.250
50000630000020.330


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-09-20T00:00:00ANONYMOUSv4_computers8DA3DD57C78DC9D90.372
1999-08-16T00:00:00ANONYMOUSv4_computers8DA3DD57C78DC9D90.372


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-29T00:52:23kutensarcturus
8414766099538585248164567
034877A7912C483Fno


P-1 factor-bounds graph:
B1 = 500000, B2 = 130364850 (P-1 stage 2)
B1 = 297000, B2 = 5565000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 175000, B2 = 4637500 (P-1 stage 2)
B1 = 297000 (P-1 stage 1)
B1 = 175000 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 96272 (P-1 stage 1)
B1 = 78136 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-05T11:17:31+00:00