is 2 57109321 - 1
has 17191619 decimal digits
takes 121.040 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
Actual2718.371363.3803 %----8.371363.3803 %
Target27333.494464.3836 %4000006500000012.04574.0694 %45.540165.8329 %
Difference-2-25.1231-1.0033 %-400000-65000000-12.0457-4.0694 %-37.1688-2.4527 %

Known prime factors (1 factor, 77.9 bits, 0.00013643% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
571093212845280600415966603855112477.9132491082498088155
5 × 23 × 3463 × 12637 × 494987
2012-01-2212637494987818.440.11960.1548

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2012-01-22David Macias y Marlon Durandavid23madrid2477.9131.8750.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-08ANONYMOUSv4_computers212532.10000e-5
2000-03-08ANONYMOUSv4_computers212544.20000e-5
2000-06-26ANONYMOUSv4_computers212560.000
2001-09-22ANONYMOUSv4_computers212570.000
2002-10-26ANONYMOUSv4_computers212580.001
2003-07-30Team Prime Ribv4_computers212600.001
2022-06-27LordJuliusManual testing260263
2008-10-20BoulderManual testing2632640.033
2009-03-14korvaIBMlap12642650.065
2009-03-19Ton van der Woudenlaptop2652660.131
2009-03-23Ton van der Woudenlaptop2662670.262
2009-07-22Kikamonju2672680.523
2011-04-20Sebastian HornbostelManual testing2682691.047
2011-06-19James RushworthCA82541402692702.094
2011-09-18Stefan2702714.187


ECM factoring results:
No ECM results for M57109321


Lucas-Lehmer results:
No L-L results for M57109321


PRP results:
No PRP results for M57109321


CERT results:
No CERT results for M57109321


P-1 factor-bounds graph:
103
104
105
103
104
105
106
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
260
258
257
256
254
253
this exponent TF target: 73
TF double-checked to: 67
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00