is 2 56424311 - 1
has 16985411 decimal digits
takes 119.588 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-daysProbability
Actual27216.949063.8889 %----16.949063.8889 %
Target27333.901164.3836 %4000006500000012.04574.0633 %45.946765.8307 %
Difference-1-16.9521-0.4947 %-400000-65000000-12.0457-4.0633 %-28.9978-1.9419 %

Known prime factors (1 factor, 85.7 bits, 0.00015184% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
56424311617396812730327072626496572685.674547101773852698948
22 × 132 × 43 × 881 × 4903 × 4357277
2012-02-0949034357277146,9270.74381.3626

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2012-02-09Jimmy BrüggemanniMac22685.6743.6280.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-15ANONYMOUSv4_computers212532.13000e-5
2000-03-08ANONYMOUSv4_computers212544.25000e-5
2000-06-11ANONYMOUSv4_computers212560.000
2001-09-22ANONYMOUSv4_computers212570.000
2002-10-07ANONYMOUSv4_computers212580.001
2022-06-27LordJuliusManual testing21263
2008-07-24Sturle Sundekorsmo.ifi2632640.033
2008-07-25Sturle Sundepapageno.ifi2642650.066
2008-07-26Sturle Sundehummel.ifi2652660.132
2008-07-26Sturle Sundeakerman.ifi2662670.265
2009-11-20subgeniusHDO-c12672680.530
2011-04-14Tom DuellManual testing2682691.060
2011-06-26XyzzyManual testing2692702.119
2011-11-11Aaron HavilandManual testing27027212.71


ECM factoring results:
No ECM results for M56424311


Lucas-Lehmer results:
No L-L results for M56424311


PRP results:
No PRP results for M56424311


CERT results:
No CERT results for M56424311


P-1 factor-bounds graph:
102
103
104
102
103
104
105
106
107
TF factor-bounds graph:
272
270
269
268
267
266
265
264
263
258
257
256
254
253
this exponent TF target: 73
TF double-checked to: 67
250
260
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290
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Last modified: 2024-03-13T02:15:48+00:00