is 2 57778009 - 1
has 17392914 decimal digits
takes 122.457 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
Actual27333.106864.3836 %----33.106864.3836 %
Target27333.106864.3836 %4000006500000012.04574.0754 %45.152465.8351 %
Difference----400000-65000000-12.0457-4.0754 %-12.0457-1.4515 %

Known prime factors (1 factor, 75.6 bits, 0.00013086% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
57778009576277171026628703010072375.609498699402247167
3 × 11 × 3023 × 7309 × 683957
2012-10-027309683957263.930.13580.2139

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2012-10-02HardyP Germanyws-HP-Z800_3.6GHz2375.6093.4230.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-23ANONYMOUSv4_computers212532.08000e-5
2000-03-08ANONYMOUSv4_computers212544.15000e-5
2000-06-23ANONYMOUSv4_computers212560.000
2001-09-30ANONYMOUSv4_computers212570.000
2002-12-02ANONYMOUSv4_computers212580.001
2003-09-21Team Prime Ribv4_computers212600.001
2022-06-29LordJuliusManual testing260263
2008-10-24Nathan EdingtonWilma2632640.033
2008-11-12Nathan EdingtonManual testing263264
2008-10-25Sturle Sundenouchcraft.ifi2642650.065
2008-10-25Sturle Sundegraun.ifi2652670.388
2009-05-29ANONYMOUSNEC-012672680.517
2011-04-27eon_blue_apocalypsecc0-7apr2682691.035
2011-06-24ANONYMOUS2692702.069
2011-09-25DubslowManual testing2702714.139
2011-11-28Tom DuellManual testing2712728.277
2012-09-04Kevin JagetManual testing27227316.55


ECM factoring results:
No ECM results for M57778009


Lucas-Lehmer results:
No L-L results for M57778009


PRP results:
No PRP results for M57778009


CERT results:
No CERT results for M57778009


P-1 factor-bounds graph:
102
103
104
102
103
104
105
106
TF factor-bounds graph:
273
272
271
270
269
268
267
265
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