is 2 54336341 - 1
has 16356869 decimal digits
takes 107.352 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
Actual2718.798563.3803 %----8.798563.3803 %
Target27335.203864.3836 %3600006000000010.33993.9240 %45.543765.7812 %
Difference-2-26.4053-1.0033 %-360000-60000000-10.3399-3.9240 %-36.7452-2.4009 %

Known prime factors (1 factor, 73.1 bits, 0.00013455% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
54336341101762442247787797435512373.10893641235658275
3 × 52 × 251 × 60923 × 81649
2012-02-20609238164966.8670.17780.3552

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2012-02-20Torchwood InstituteJupiter-2500k2373.1081.6470.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-08ANONYMOUSv4_computers212532.21000e-5
2000-03-01ANONYMOUSv4_computers212544.42000e-5
2000-05-31ANONYMOUSv4_computers212560.000
2001-08-31ANONYMOUSv4_computers212570.000
2002-09-07ANONYMOUSv4_computers212580.001
2003-04-27oerwinv4_computers212590.001
2004-02-07oerwinv4_computers212620.006
2008-06-05Corbyguymonaco2622630.018
2008-11-241997rj7Manual testing212640.036
2008-12-25ANONYMOUS2642660.206
2009-02-24ANONYMOUS2662670.275
2009-11-06ANONYMOUScreehanxp2672680.550
2011-04-20tmorrowPrimadonna2682691.100
2011-05-20shaugeManual testing2692716.601


ECM factoring results:
No ECM results for M54336341


Lucas-Lehmer results:
No L-L results for M54336341


PRP results:
No PRP results for M54336341


CERT results:
No CERT results for M54336341


P-1 factor-bounds graph:
103
104
105
103
104
105
TF factor-bounds graph:
271
269
268
267
266
264
263
262
259
258
257
256
254
253
this exponent TF target: 73
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00