is 2 3426277 - 1
has 1031413 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-L-unknown--unknown-
PRP54652584B1A905F1verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.844568.1159%140000007000000007.823910.9059%42.668471.5932%3.4773%
PrimeNet2600.044863.3333%140002800000.00432.8511%0.049264.3787%1.0454%
GPU722641.038865.6250%190003200000.00541.8218%1.044266.2512%0.6262%
Difference+5+33.8056+2.4909%+13981000+699680000+7.8185+9.0842%+41.6242+5.3420%+5.3420%

Known prime factors (1 factor, 69.5 bits, 0.00202940% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34262778540392186062677706492169.533124630790010012
22 × 33 × 11 × 13 × 8069851723
2021-05-0127806985172335.84166.957125.06

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-16T03:22:00Carsten Kossendeydurandal15000210000---0.004--0.698%
2011-10-30T11:15:00harleeP4_260060000945000---0.016--1.663%
2014-07-18T01:20:00Jocelyn LaroucheManual testing7873378733---0.012--0.652%
2014-09-13T17:15:00HBendtzHAL900750000010000000---0.155--4.159%
2021-04-26T01:51:35axnManual testing14000000700000000---7.824--10.906%
2022-04-09T09:24:22Jocelyn LaroucheManual testing10000001000000---0.152--2.308%
2022-04-10T15:21:26Jocelyn LaroucheManual testing1000000126668850---1.195--6.989%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:29Mark RoseManual testing21260--0.045--
2009-03-24T06:24:00S485122USB-A260261--0.045--
2011-07-24T20:25:00Carsten KossendeyManual testing261262--0.090--
2012-08-18T15:31:00GrunwalderGIMPManual testing21263--0.466--
2016-02-23T16:29:29Mark RoseManual testing262263--0.287--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.573--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.091--
2015-04-11T21:17:00Gordon SpenceManual testing265266--2.181--
2017-02-05T22:59:56Gordon SpenceManual testing266267--4.362--
2018-11-12T14:47:32TJAOIManual testing267268--8.724--
2020-12-30T17:06:32axnManual testing268269--17.45--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.964 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:3.964 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110000.87141.855%
25500000.07992.430%
302500000.00599.516%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.230
50000500000050.734


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-07T00:00:00ANONYMOUSv4_computersD197FFF26C28A0__0.360


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-01T10:49:48ATHec2-PRPCF
854039218606267770649
54652584B1A905F1no


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 = 78733 (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: 2022-04-10T15:21:26+00:00