is 2 34607 - 1
has 10418 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
Actual267858.610076.1194%200000000040464232253445021,046.577930.6124%21,905.188083.4298%7.3104%
PrimeNet2400.000060.0000%500100000.00004.2552%0.000061.7021%1.7021%
GPU722440.000163.6364%500100000.00001.8338%0.000164.3032%0.6668%
Difference+23+858.6100+12.4830%+1999999500+404642322524450+21,046.5779+28.7786%+21,905.1879+19.1266%+6.6436%

Known prime factors (3 factors, 193.8 bits, 0.56005737% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
346075052623722.26973
73
-1731.640e-114.699e-97.407e-9
3460729969663824.837433
433
2008-08-2614337.064e-112.342e-84.238e-8
3460714626834157494437455249237818912692919277248945146.7132113276816466962963453815386903327783292
22 × 3 × 829 × 9237017 × 16257679 × 1509651709 × 937030143067
2022-08-0315096517099370301430674.076e+1250.09691.020

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
346071514254085760491547.106
3460773903878681342017058453769736308107235877371168864
7
51168.982
3460743836129045699721490839723843966843321322535310012
07
52171.550
3460722148743384727046389821107800767528380271063232567
911515961
59193.819
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-21T09:33:29kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 5052623
skipped known factor: 29969663
--0.441--12.448%
2022-06-15T16:39:33nordisweet16_ccx320000000002000000000-
skipped known factor: 5052623
skipped known factor: 29969663
--1.909--11.060%
2022-08-03T23:25:41nordisweet16_30.8b14200000000040464232253445045146.71321,0474.55659e-542,09330.612%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??24.83786.05293e-125.07697e-51.34884e-11


ECM factoring results:
Total ECM effort:21.774 GHz-days
Estimated T-Level:34.970
DigitsB1CompleteFacMiss
2011000302.2870.000%
255000056.7620.000%
302500008.3140.025%
3510000000.99437.013%
4030000000.09990.610%
45110000000.00899.179%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003230.222
250000250000005761.978
10000001000000001,42519.57


Lucas-Lehmer results:
No L-L results for M34607


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:45:35Oliver KrusePRP
5052623
29969663
F5FE780B1D332C__no
2017-09-21T20:27:30Oliver KruseManual testing
5052623
29969663
F5FE780B1D332C__no
2017-10-12T22:21:04kkmrkkblmbrbkManual testing
5052623
29969663
F5FE780B1D332C__no
2020-04-17T13:48:14Oliver KruseManual testing
5052623
29969663
BE2B930AD22185__no
2022-08-03T23:27:28nordisweet16_30.8b14
5052623
29969663
146268341574944374552492378189126929192772489
BE2B930AD22185B8no
2022-08-04T00:42:40Wentao HuangBiolake2
5052623
29969663
146268341574944374552492378189126929192772489
BE2B930AD22185B8no


P-1 factor-bounds graph:
B1 = 2000000000, B2 = 404642322534450 (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: 2022-08-04T00:42:40+00:00