is 2 3465677 - 1
has 1043273 decimal digits
takes 0.364 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA8BE5BFC08879FF5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.198667.6471%3465677347908869029.365712.7481%46.564371.7714%4.1244%
PrimeNet2600.044363.3333%150002800000.00452.9037%0.048864.3980%1.0647%
GPU722641.027065.6250%190003600000.00571.8854%1.032766.2731%0.6481%
Difference+4+16.1716+2.0221%+3446677+3478728690+29.3600+10.8627%+45.5316+5.4984%+5.4984%

Known prime factors (1 factor, 64.9 bits, 0.00187198% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3465677338732180586731555272064.8774886955428719
7 × 13 × 53702806909
2009-07-1413537028069091.3815445.58832.22

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:15:00Carsten Kossendeyleela20000235000---0.005--0.939%
2021-03-18T10:49:28Jocelyn LaroucheManual testing34656734656776---0.079--3.499%
2021-06-13T12:36:25Jocelyn LaroucheManual testing34656773465677---0.528--3.936%
2021-08-04T02:33:07Jocelyn LaroucheManual testing3465677103970316---0.585--5.326%
2021-11-21T13:16:36Jocelyn LaroucheManual testing34656773465677012---0.787--6.862%
2021-12-21T19:30:07Jocelyn LaroucheManual testing3465677138611550---1.649--8.638%
2022-08-08T12:09:48Jocelyn LaroucheManual testing34656773479088690---29.37--12.748%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-21T17:08:00S485122USB-Z260261--0.044--
2022-05-19T21:52:23LordJuliusManual testing261263--0.372--
2022-05-19T21:52:23LordJuliusManual testing263264--0.567--
2022-05-19T21:52:23LordJuliusManual testing26426564.877200.3540.7400.720
2021-02-28T12:18:16Jocelyn LaroucheManual testing265266--2.156--
2021-03-18T10:49:34Jocelyn LaroucheManual testing266267--4.312--
2021-06-13T12:36:28Jocelyn LaroucheManual testing267268--8.625--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CurvesCompleteFacMiss

New Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-30T00:00:00ANONYMOUSv4_computersA8BE5BFC08879FF50.364


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-07T03:32:33Oliver KruseGTX-0
33873218058673155527
9013886E34C985__no
2017-12-16T17:39:13kkmrkkblmbrbkc4.xlarge
33873218058673155527
9013886E34C985__no


P-1 factor-bounds graph:
B1 = 3465677, B2 = 3479088690 (P-1 stage 2)
B1 = 3465677, B2 = 138611550 (P-1 stage 2)
B1 = 3465677, B2 = 34656770 (P-1 stage 2)
B1 = 3465677, B2 = 10397031 (P-1 stage 2)
B1 = 3465677 (P-1 stage 1)
B1 = 346567, B2 = 3465677 (P-1 stage 2)
B1 = 346567 (P-1 stage 1)
B1 = 20000, B2 = 235000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-08T12:09:48+00:00