is 2 53043031 - 1
has 15967544 decimal digits
takes 101.617 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
Actual2681.123761.7647%----1.123761.7647%
Target27336.062164.3836%3600009600000015.47453.9120%51.536665.7769%
Difference-5-34.9384-2.6189%-360000-96000000-15.4745-3.9120%-50.4129-4.0122%

Known prime factors (1 factor, 66.3 bits, 0.00012508% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
53043031936652998694899721212066.344882918058260
22 × 3 × 5 × 7 × 1609 × 1306517
2010-04-19160913065170.50900.20200.3693

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-04-19unconnectedsau032066.344-203.2-0.000%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-01ANONYMOUSv4_computers21253--2.26217e-5--
2000-01-12ANONYMOUSv4_computers21253--2.26217e-5--
2000-03-01ANONYMOUSv4_computers21254--4.52434e-5--
2000-05-17ANONYMOUSv4_computers21256--0.000--
2001-07-17ANONYMOUSv4_computers21257--0.000--
2002-06-09ANONYMOUSv4_computers21258--0.001--
2004-04-091997rj7v4_computers21260--0.003--
2008-10-19ANONYMOUSManual testing21264--0.067--
2008-12-17hacksaw116work264265--0.070--
2008-12-24BranMuffinLimestone-O1265266--0.141--
2008-12-26BranMuffinLimestone-O1266267--0.282--
2009-06-30Bob-ABob-A_Office267268--0.564--


ECM factoring results:
No ECM results for M53043031


Lucas-Lehmer results:
No L-L results for M53043031


PRP results:
No PRP results for M53043031


P-1 factor-bounds graph:
102
103
104
102
103
104
105
106
107
TF factor-bounds graph:
268
267
266
265
264
260
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