is 2 34061 - 1
has 10254 decimal digits
takes 0.000 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-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown200000000040490194035291021,060.080278.0868%21,060.080278.0868%78.0868%
PrimeNet2400.000060.0000%500100000.00004.2381%0.000061.6952%1.6952%
GPU722440.000163.6364%500100000.00001.8253%0.000164.3001%0.6637%
Difference-44-0.0001-63.6364%+1999999500+404901940342910+21,060.0802+76.2616%+21,060.0802+13.7867%+77.4231%

Known prime factors (2 factors, 153.5 bits, 0.45057245% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34061204367617.6413
3
-135.130e-131.059e-91.943e-9
340617735818877664801608618431366923121046720741135.8291135583053589853734273572614856158223
137 × 1459 × 5261 × 132438239 × 372769399 × 21873641561
2022-08-01372769399218736415613.836e+121.47412.1247

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
340611580946096571722510348522963163977478955169296947153.469
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-21T09:33:28kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 204367
--0.441--41.408%
2022-06-13T05:58:30nordisweet16_ccx320000000002000000000-
skipped known factor: 204367
--1.909--36.013%
2022-08-01T02:27:13nordisweet16_30.8b14200000000040490194035291041135.82921,0604.48470e-542,12069.468%


Trial Factoring results:
No TF results for M34061


ECM factoring results:
Total ECM effort:21.993 GHz-days
Estimated T-Level:34.564
DigitsB1CompleteFacMiss
2011000277.1560.000%
255000052.2300.000%
302500007.6550.047%
3510000000.91340.140%
4030000000.09091.368%
45110000000.00899.248%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.193
250000250000005852.009
10000001000000001,12915.51
1000000180000000500.866
20000003500000001003.417


Lucas-Lehmer results:
No L-L results for M34061


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:44:54Oliver KruseOliver-PC
204367
C87C47A4302AC5__no
2017-09-21T20:27:29Oliver KruseManual testing
204367
C87C47A4302AC5__no
2017-10-12T22:21:02kkmrkkblmbrbkManual testing
204367
C87C47A4302AC5__no
2020-04-17T13:47:54Oliver KruseManual testing
204367
01AD2269DE1DE3__no
2022-08-01T04:31:55LordJuliusWhiteBox
204367
77358188776648016086184313669231210467207
01AD2269DE1DE311no
2022-08-01T21:11:47LordJuliusWhiteBox
204367
77358188776648016086184313669231210467207
01AD2269DE1DE311no


P-1 factor-bounds graph:
B1 = 2000000000, B2 = 404901940352910 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-01T21:11:47+00:00