is 2 110009407 - 1
has 33116132 decimal digits
takes 482.819 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
Actual276139.115364.4737 %8010002469800013.38314.0788 %152.498465.9227 %
Target276139.115364.4737 %70000013000000049.28594.0479 %188.401265.9118 %
Difference---+101000-105302000-35.9028+0.0309%-35.9028+0.0110 %

Known prime factors (1 factor, 82.5 bits, 0.00007501% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11000940769103550093684823444040332582.51531408018631390688
25 × 3 × 7 × 17 × 41 × 47 × 331 × 4310351
2021-04-03331431035117,3211.49652.7913

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-04-03tscManual testing801000246980001222582.51513.384.079%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-04-30roemer2201Roemer-EEE-1000H2632640.018
2010-09-16WPSs22642650.034
2011-10-27VictordeHollanderManual testing2652728.627
2020-04-06GROBERTSManual testing2722738.695
2020-04-20KrieselManual testing273276121.7


ECM factoring results:
No ECM results for M110009407


Lucas-Lehmer results:
No L-L results for M110009407


PRP results:
No PRP results for M110009407


CERT results:
No CERT results for M110009407


P-1 factor-bounds graph:
B1 = 801000, B2 = 24698000 (P-1 stage 2)
B1 = 801000 (P-1 stage 1)
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104
105
106
101
102
103
104
105
106
107
108
TF factor-bounds graph:
276
273
272
265
264
this exponent TF target: 76
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00