is 2 34757 - 1
has 10463 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267854.904676.1194%200000000040464232253445021,046.577930.6178%21,901.482583.4311%7.3117%
PrimeNet2400.000060.0000%500100000.00004.2599%0.000061.7039%1.7039%
GPU722440.000163.6364%500100000.00001.8361%0.000164.3040%0.6677%
Difference+23+854.9045+12.4830%+1999999500+404642322524450+21,046.5779+28.7817%+21,901.4824+19.1271%+6.6440%

Known prime factors (2 factors, 213.1 bits, 0.61316950% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
347571801403654031339102838632477.2532591425689834190383
32 × 287936187759354487
2014-04-2392879361877593544871,750,40614,975,08127,969,281
347577937763711756155042755834826381949426451341135.8661141894253208872319641487301318000608
25 × 3 × 11 × 19 × 97 × 51672221 × 378049957 × 30035185039733
2022-08-06378049957300351850397334.960e+121,562.42,917.5

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3475714299116555194902844282358609667703068678038037533
293036237453719
65213.119
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-21T09:33:29kkmrkkblmbrbkManual testing200000000500000000012---0.441--12.452%
2022-04-30T23:33:51nordisweet16_ccx320000000002000000000---1.909--11.063%
2022-08-06T13:49:20nordisweet16_30.8b14200000000040464232253445041135.86621,0474.57634e-542,09330.618%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-29T00:00:00ANONYMOUSv4_computers252253--0.017--
2000-03-08T00:00:00ANONYMOUSv4_computers253254--0.035--
2000-10-22T00:00:00ANONYMOUSv4_computers21256--0.276--


ECM factoring results:
Total ECM effort:21.776 GHz-days
Estimated T-Level:34.973
DigitsB1CompleteFacMiss
2011000301.4900.000%
255000056.7390.000%
302500008.3180.024%
3510000000.99536.985%
4030000000.09990.604%
45110000000.00899.178%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.193
250000250000005852.009
10000001000000001,42519.57


Lucas-Lehmer results:
No L-L results for M34757


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:45:39Oliver KruseOllaptop
180140365403133910283863
D35FDAD21A7BCA__no
2017-09-21T21:38:53Oliver KruseManual testing
180140365403133910283863
D35FDAD21A7BCA__no
2017-10-12T22:21:04kkmrkkblmbrbkManual testing
180140365403133910283863
D35FDAD21A7BCA__no
2020-04-17T13:48:27Oliver KruseManual testing
180140365403133910283863
36C694C960FEE7__no
2022-08-06T14:44:37nordisweet16_30.8b14
180140365403133910283863
79377637117561550427558348263819494264513
36C694C960FEE74Cno


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: 2022-08-06T14:44:37+00:00