is 2 3531071 - 1
has 1062959 decimal digits
takes 0.371 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBB8BCC41064E933Ddouble-checked
PRP25EB6031CF734DACPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272270.833969.4444%3531071355697160030.02139.6199%300.855272.3839%2.9394%
PrimeNet2600.043563.3333%150003000000.00462.9650%0.048164.4205%1.0872%
GPU722641.008065.6250%200003600000.00591.9185%1.013966.2845%0.6595%
Difference+8+269.8259+3.8194%+3511071+3556611600+30.0155+7.7014%+299.8413+6.0994%+2.2799%

Known prime factors (1 factor, 122.5 bits, 0.00346780% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3531071726530821761174509892688942319771978337122.4501028768356344540381505623849421
13 × 2803 × 349567 × 747557 × 2013589 × 53654429
2022-03-022013589536544294.132e+100.73510.8315

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:07:00Carsten Kossendeyleela20000245000---0.005--0.515%
2011-11-23T04:06:00harleeP4_260060000990000---0.017--1.138%
2014-08-07T10:52:00Jocelyn LaroucheManual testing7817778177---0.012--0.417%
2014-11-14T01:20:00Jocelyn LaroucheManual testing9635496354---0.015--0.480%
2015-11-12T18:30:33Squeeky_SquirrelP4_260017000045900006---0.063--2.155%
2017-04-22T10:19:40Jocelyn Larouchelow 4M34000034000006---0.077--2.267%
2021-11-07T17:15:14Aaron HavilandManual testing8000003500000012---0.406--4.213%
2022-03-02T07:37:06mikrMSI400000032400000037122.4503.2640.7426.5297.213%
2022-04-08T08:43:16Jocelyn LaroucheManual testing1000000130318650---1.225--5.400%
2022-07-17T00:50:10Jocelyn LaroucheManual testing35310713556971600-
skipped known factor: 7265308217611745098926889423197719783
--30.02--9.620%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-04T11:50:53ArtyomPaxioo50000250000027--0.032
2021-09-04T12:08:21ArtyomPaxioo50000250000065--0.032


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-12T00:00:00ANONYMOUSv4_computers21260--0.043--
2009-03-17T13:59:00S485122USB-Z260261--0.043--
2011-07-07T11:35:00markrManual testing21262--0.174--
2012-06-20T01:20:00GrunwalderGIMPManual testing21263--0.452--
2015-01-27T16:52:00VictordeHollanderManual testing263264--0.556--
2015-01-27T16:52:00VictordeHollanderManual testing264265--1.058--
2016-03-02T19:47:16ramgeisManual testing265266--2.116--
2017-01-11T20:24:04Gordon SpenceManual testing266267--4.233--
2018-11-19T15:52:47TJAOIManual testing267268--8.465--
2021-01-20T13:12:50axnManual testing268269--16.93--
2021-03-17T11:32:03-Anonymous-Manual testing269270--33.86--
2021-03-17T11:32:03-Anonymous-Manual testing270271--67.72--
2021-03-19T16:52:24-Anonymous-Manual testing271272--135.4--


ECM factoring results:
Total ECM effort:6.679 GHz-days
Estimated T-Level:20.785
DigitsB1CompleteFacMiss
20110001.69918.292%
25500000.15785.466%
302500000.01099.011%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.282
500006750000142.397


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-16T00:00:00GlennMaitzv4_computersBB8BCC41064E933D0.371
1998-09-13T00:00:00GlennMaitzv4_computersBB8BCC41064E933D0.371
1999-07-12T00:00:00ANONYMOUSv4_computersBB8BCC41064E933D0.371


PRP results:
dateuseridcompidcofactorsres64PRP
2022-03-08T19:38:15LaurVdebi
7265308217611745098926889423197719783
25EB6031CF734DACno


P-1 factor-bounds graph:
B1 = 3531071, B2 = 3556971600 (P-1 stage 2)
B1 = 4000000, B2 = 324000000 (P-1 stage 2)
B1 = 1000000, B2 = 130318650 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3531071 (P-1 stage 1)
B1 = 800000, B2 = 35000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 800000 (P-1 stage 1)
B1 = 340000, B2 = 3400000 (P-1 stage 2)
B1 = 170000, B2 = 4590000 (P-1 stage 2)
B1 = 340000 (P-1 stage 1)
B1 = 170000 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 96354 (P-1 stage 1)
B1 = 78177 (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: 2022-07-17T00:50:10+00:00