is 2 58726133 - 1
has 17678328 decimal digits
takes 130.462 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
Actual27216.284663.8889%735000165375005.14095.0606%21.425665.7163%
Target27332.572364.3836%40000011200000020.87444.1419%53.446665.8588%
Difference-1-16.2876-0.4947%+335000-95462500-15.7334+0.9187%-32.0211-0.1424%

Known prime factors (1 factor, 65.4 bits, 0.00011138% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
58726133490590253292424933372065.411417693306396
22 × 3 × 34513 × 1008541
2012-10-223451310085410.19790.28210.3306

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-10-22David Campeaui5-2520M-2735000165375002065.4115.141260.910.285.061%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-23ANONYMOUSv4_computers21253--2.04325e-5--
2000-02-09ANONYMOUSv4_computers21254--4.08651e-5--
2000-06-29ANONYMOUSv4_computers21256--0.000--
2000-07-03ANONYMOUSv4_computers21256--0.000--
2001-07-17ANONYMOUSv4_computers21257--0.000--
2002-10-26ANONYMOUSv4_computers21258--0.001--
2003-07-30ANONYMOUSv4_computers21259--0.001--
2003-12-021997rj7v4_computers21260--0.003--
2022-06-27LordJuliusManual testing260263--0.025--
2008-11-02ComputerraRUYxine-Home263264--0.033--
2008-11-02bero70C2D_T5500264265--0.064--
2008-11-02KYOJI_KAMEIwlaptop265266--0.127--
2008-11-03KYOJI_KAMEIwlaptop266267--0.254--
2008-11-03KYOJI_KAMEIwlaptop267268--0.509--
2009-08-07ANONYMOUSHHS-C0268269--1.018--
2011-11-04GrunwalderGIMPcompute-0-1269270--2.036--
2012-06-19rduerrManual testing270271--4.072--
2012-09-20David CampeauManual testing271272--8.144--


ECM factoring results:
No ECM results for M58726133


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2012-04-18ebravicknks-prod-mail-800-bCABAC52D7C838B__130.5


PRP results:
No PRP results for M58726133


P-1 factor-bounds graph:
B1 = 735000, B2 = 16537500 (P-1 stage 2)
B1 = 735000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
260
259
258
257
256
254
253
this exponent TF target: 73
TF double-checked to: 67.8
250
260
270
280
Last modified: 2023-06-05T21:50:05+00:00