is 2 52736731 - 1
has 15875338 decimal digits
takes 101.030 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
Actual27218.134163.8889%8550008550002.37502.2915%20.509164.7164%
Target27336.271664.3836%3600009600000015.47453.9091%51.746165.7759%
Difference-1-18.1375-0.4947%+495000-95145000-13.0995-1.6176%-31.2369-1.0595%

Known prime factors (1 factor, 68.7 bits, 0.00013020% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
527367314673772029764958255212168.6634431230321960
23 × 5 × 13 × 8521596773		2015-01-221385215967731.50321,289.72,408.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-07-28ANONYMOUS855000855000---2.375--2.292%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-01ANONYMOUSv4_computers21253--2.27531e-5--
2000-01-04ANONYMOUSv4_computers21253--2.27531e-5--
2000-02-23ANONYMOUSv4_computers21254--4.55062e-5--
2000-05-10ANONYMOUSv4_computers21256--0.000--
2001-07-07ANONYMOUSv4_computers21257--0.000--
2002-05-18ANONYMOUSv4_computers21258--0.001--
2003-12-021997rj7v4_computers21259--0.001--
2004-03-261997rj7v4_computers21260--0.003--
2008-04-24ANONYMOUSv4_computers21263--0.030--
2008-11-27DerekManual testing21264--0.067--
2008-12-12alan145Bear1264265--0.071--
2008-12-16alan145Bear1265266--0.142--
2008-12-21alan145Bear1266267--0.283--
2009-04-24hreidacer4267268--0.567--
2010-03-28sannerud.comJimEmcLap268269--1.134--
2015-01-22Mark RoseManual testing268269*68.663210.373238.80.882
2012-01-16XyzzyManual testing269270--2.267--
2012-01-16XyzzyManual testing270271--4.534--
2012-01-16XyzzyManual testing271272--9.069--


ECM factoring results:
No ECM results for M52736731


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2013-11-10curtisclov1130-08L823D753805C97A__101.0


PRP results:
No PRP results for M52736731


P-1 factor-bounds graph:
B1 = 855000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
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