is 2 53581573 - 1
has 16129661 decimal digits
takes 105.861 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
Actual2681.112461.7647 %----1.112461.7647 %
Target27335.699764.3836 %3600006000000010.33993.9170 %46.039665.7787 %
Difference-5-34.5873-2.6189 %-360000-60000000-10.3399-3.9170 %-44.9272-4.0140 %

Known prime factors (1 factor, 68.7 bits, 0.00012822% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
535815734810293874177047479032168.7054488757612787
7 × 19 × 23 × 541 × 2712373
2011-01-2754127123732.09460.42480.7907

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-01-27Aldo_GridPavillonESP2168.7055.0080.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-08ANONYMOUSv4_computers212532.24000e-5
2000-03-01ANONYMOUSv4_computers212544.48000e-5
2000-05-24ANONYMOUSv4_computers212560.000
2001-08-12ANONYMOUSv4_computers212570.000
2002-07-14ANONYMOUSv4_computers212580.001
2004-06-041997rj7v4_computers212600.001
2007-10-171997rj7v4_computers212630.018
2008-08-18ANONYMOUSManual testing212640.035
2008-12-19Sturle Sundebakeng.ifi2642660.209
2008-12-21Sturle Sundegonsha.ifi2662670.279
2009-05-03Tombatavus502672680.558


ECM factoring results:
No ECM results for M53581573


Lucas-Lehmer results:
No L-L results for M53581573


PRP results:
No PRP results for M53581573


CERT results:
No CERT results for M53581573


P-1 factor-bounds graph:
101
102
103
101
102
103
104
105
106
107
TF factor-bounds graph:
268
267
266
264
263
260
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