is 2 56164403 - 1
has 16907170 decimal digits
takes 119.037 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
Actual2718.512163.3803 %----8.512163.3803 %
Target27334.057964.3836 %4000006500000012.04574.0609 %46.103665.8299 %
Difference-2-25.5458-1.0033 %-400000-65000000-12.0457-4.0609 %-37.5915-2.4496 %

Known prime factors (1 factor, 72.2 bits, 0.00012852% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5616440353628240073528637688232272.18347742197200537
72 × 673 × 13513 × 107137
2012-06-021351310713731.7610.05720.0845

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2012-06-02MadPooIntCache012272.1831.8440.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-08ANONYMOUSv4_computers212532.14000e-5
2000-03-01ANONYMOUSv4_computers212544.27000e-5
2000-05-31ANONYMOUSv4_computers212560.000
2001-09-22ANONYMOUSv4_computers212570.000
2002-09-07ANONYMOUSv4_computers212580.001
2003-10-31Andreas Pippv4_computers212590.001
2004-10-031997rj7v4_computers212600.001
2022-06-15LordJuliusManual testing260263
2008-06-28James HeinrichQ66002632640.033
2008-07-03Sturle Sundehindemith.ifi2642660.200
2008-07-05Sturle Sundebakeng.ifi2662670.266
2009-11-22arnaudSRV-3302672680.532
2011-04-16sunithayaboxx2682691.064
2011-06-07eon_blue_apocalypsedl585-7apr2692702.129
2011-08-15snoozersnoozerPC2702714.258


ECM factoring results:
No ECM results for M56164403


Lucas-Lehmer results:
No L-L results for M56164403


PRP results:
No PRP results for M56164403


CERT results:
No CERT results for M56164403


P-1 factor-bounds graph:
103
104
105
103
104
105
106
TF factor-bounds graph:
271
270
269
268
267
266
264
263
260
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