is 2 113223139 - 1
has 34083562 decimal digits
takes 496.924 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
Actual276135.166764.4737 %55000002783898142.74684.9261 %177.913566.2238 %
Target276135.166764.4737 %70000013000000049.28594.0620 %184.452665.9168 %
Difference---+4800000-102161019-6.5391+0.8642%-6.5391+0.3070 %

Known prime factors (1 factor, 80.0 bits, 0.00007066% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11322313912123468127165658491060972580.0045353794389663432
23 × 71 × 338579 × 27838981
2021-11-29338579278389813,469.711.69018.028

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-11-29Simon JosefssonManual testing55000002783898122580.00442.754.926%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-06-011997rj7Manual testing2632640.017
2010-09-28Torchwood InstitutePH95002642650.033
2012-06-05sasaki3mate_ma22652660.066
2013-10-12symalladSchool_Laptop2662670.132
2015-02-10SMoffatManual testing2672680.264
2015-02-23Preben SManual testing2682690.528
2015-03-01Smok_bmvManual testing2692701.056
2015-05-03SMoffatManual testing2702712.112
2019-01-05Niels_Mache_NextcloudManual testing2712724.224
2020-04-21SRBaseManual testing2722738.448
2020-10-06burkhajoManual testing27327416.90
2021-01-17arpcarManual testing27427533.79
2021-05-02KrieselManual testing27527667.58


ECM factoring results:
No ECM results for M113223139


Lucas-Lehmer results:
No L-L results for M113223139


PRP results:
No PRP results for M113223139


CERT results:
No CERT results for M113223139


P-1 factor-bounds graph:
B1 = 5500000, B2 = 27838981 (P-1 stage 2)
B1 = 5500000 (P-1 stage 1)
104
105
106
107
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
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00