is 2 3431903 - 1
has 1033106 decimal digits
takes 0.360 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2DBF7C180637C568double-checked
PRP2FA84FD815A144E2PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.787368.1159%140000007000000007.823910.9074%42.611371.5937%3.4777%
PrimeNet2600.044863.3333%150002800000.00452.8987%0.049264.3962%1.0629%
GPU722641.037165.6250%190003400000.00561.8530%1.042766.2620%0.6370%
Difference+5+33.7502+2.4909%+13981000+699660000+7.8184+9.0544%+41.5686+5.3317%+2.8408%

Known prime factors (1 factor, 69.7 bits, 0.00203106% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34319039615630817790035906332169.704140091821036172
22 × 32 × 3891439473227
2021-06-199389143947322741.21232,28860,305

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-16T11:24:00Carsten Kossendeydurandal15000210000---0.004--0.698%
2011-11-01T00:07:00harleeP4_260060000945000---0.016--1.664%
2014-07-18T01:20:00Jocelyn LaroucheManual testing7870278702---0.012--0.652%
2014-09-15T04:43:00HBendtzHAL900750000010000000---0.155--4.160%
2021-05-02T02:34:05axnManual testing14000000700000000---7.824--10.907%
2022-04-09T08:15:05Jocelyn LaroucheManual testing10000001000000---0.152--2.309%
2022-04-10T13:22:45Jocelyn LaroucheManual testing1000000126668850---1.195--6.991%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:29Mark RoseManual testing21260--0.045--
2009-03-22T09:54:00S485122USB-Z260261--0.045--
2011-08-09T18:04:00markroldgamer261262--0.090--
2012-08-18T15:33:00GrunwalderGIMPManual testing21263--0.465--
2016-02-23T16:29:29Mark RoseManual testing262263--0.286--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.572--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.089--
2015-04-12T16:51:00Gordon SpenceManual testing265266--2.177--
2017-02-05T22:59:57Gordon SpenceManual testing266267--4.355--
2018-10-08T14:27:16TJAOIManual testing267268--8.710--
2021-01-01T01:59:32axnManual testing268269--17.42--


ECM factoring results:
Total ECM effort:4.600 GHz-days
Estimated T-Level:20.555
DigitsB1CompleteFacMiss
20110001.19930.158%
25500000.11189.501%
302500000.00799.302%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.259
50000680000020.342


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-16T00:00:00garyfuv4_computers2DBF7C180637C5680.360
1999-11-10T00:00:00ANONYMOUSv4_computers2DBF7C180637C5680.360


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-20T08:15:00tottenhoff2018pc
961563081779003590633
2FA84FD815A144E2no


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 78702 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 210000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T13:22:45+00:00