is 2 104309533 - 1
has 31400299 decimal digits
takes 415.319 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
Actual276146.717164.4737 %7670002248000011.25793.9600 %157.975065.8805 %
Target276146.717164.4737 %65000012000000041.29373.9238 %188.010965.8677 %
Difference---+117000-97520000-30.0359+0.0361%-30.0359+0.0128 %

Known prime factors (1 factor, 84.0 bits, 0.00008052% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
104309533192257247352811106269195532683.99192157083740759872
26 × 3 × 1487 × 31181 × 10352053
2021-06-07311811035205318,7803.42646.0817

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-06-07MarkSdesktop-i776700022480000622683.99111.263.960%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-04-18Clive GiffordCF38425112632640.019
2010-08-26Mr-Plonklinux-i7-9202642650.036
2012-05-04Mr-PlonkLinux-i72652660.072
2014-05-12timc995dl580_g5b2662670.143
2014-10-12AK76Manual testing2672680.287
2014-10-17shaugeManual testing2682690.573
2014-10-17shaugeManual testing2692701.146
2014-10-17shaugeManual testing2702712.292
2015-01-18workerthreadManual testing2712724.585
2020-03-04el groccoManual testing2722739.170
2020-03-31SRBaseManual testing27327418.34
2021-02-04TheJudgerManual testing27427536.68
2021-02-04TheJudgerManual testing27527673.36


ECM factoring results:
No ECM results for M104309533


Lucas-Lehmer results:
No L-L results for M104309533


PRP results:
No PRP results for M104309533


CERT results:
No CERT results for M104309533


P-1 factor-bounds graph:
B1 = 767000, B2 = 22480000 (P-1 stage 2)
B1 = 767000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
276
275
274
273
272
271
270
269
268
267
266
265
264
this exponent TF target: 76
TF double-checked to: 67
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Last modified: 2024-02-09T03:30:02+00:00