is 2 57253873 - 1
has 17235134 decimal digits
takes 121.346 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
Actual27216.703463.8889 %----16.703463.8889 %
Target27333.409964.3836 %4000006500000012.04574.0707 %45.455565.8334 %
Difference-1-16.7065-0.4947 %-400000-65000000-12.0457-4.0707 %-28.7521-1.9445 %

Known prime factors (1 factor, 85.4 bits, 0.00014918% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
57253873514477200115201847387728392685.411449294670524037603
3 × 17 × 23 × 157 × 613 × 11321 × 351551
2012-07-1611321351551222,2630.09180.1099

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2012-07-16josiboziben2685.4111.7210.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-23ANONYMOUSv4_computers212532.10000e-5
2000-03-08ANONYMOUSv4_computers212544.19000e-5
2000-06-28ANONYMOUSv4_computers212560.000
2001-09-22ANONYMOUSv4_computers212570.000
2002-11-02ANONYMOUSv4_computers212580.001
2003-08-25Team Prime Ribv4_computers212600.001
2022-06-27LordJuliusManual testing260263
2008-09-21Sturle Sundegerle.ifi2632650.098
2008-09-23Sturle Sundefungo.ifi2652660.131
2008-10-13Sturle Sundefungo.ifi2662670.261
2009-06-01sannerud.comsnap12672680.522
2011-04-24ANONYMOUS_2682691.044
2011-06-18shaugeManual testing2692716.265
2012-06-09bcp19Manual testing2712728.353


ECM factoring results:
No ECM results for M57253873


Lucas-Lehmer results:
No L-L results for M57253873


PRP results:
No PRP results for M57253873


CERT results:
No CERT results for M57253873


P-1 factor-bounds graph:
103
104
105
103
104
105
106
TF factor-bounds graph:
272
271
269
268
267
266
265
263
260
258
257
256
254
253
this exponent TF target: 73
TF double-checked to: 67
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00