is 2 103478681 - 1
has 31150187 decimal digits
takes 412.010 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
Actual276147.895164.4737 %7460002185600010.94703.9212 %158.842165.8668 %
Target276147.895164.4737 %65000011000000038.14833.8565 %186.043465.8438 %
Difference---+96000-88144000-27.2013+0.0647%-27.2013+0.0230 %

Known prime factors (1 factor, 93.9 bits, 0.00009074% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
103478681184501564081793221015538604732993.89889149553462994576156
22 × 32 × 11 × 211 × 5783 × 13049 × 14138753
2021-04-14130491413875319,385,1364.51858.3063

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-04-14MarkSlaptop6474600021856000622993.89810.953.921%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-04-16kiwiboybis2632640.019
2010-08-23sasaki3MATE_J22642650.036
2012-04-29subgeniusgigacare2652660.072
2013-09-07processinfoManual testing2662670.144
2013-09-09SMoffatManual testing2672680.289
2013-09-12SMoffatManual testing2682690.578
2013-09-17SMoffatManual testing2692701.155
2013-09-20SMoffatManual testing2702712.311
2015-01-09shaugeManual testing2712724.622
2019-10-18Niels_Mache_NextcloudManual testing2722739.244
2019-10-18Niels_Mache_NextcloudManual testing27327418.49
2020-12-23TheJudgerManual testing27427536.97
2020-12-23TheJudgerManual testing27527673.95


ECM factoring results:
No ECM results for M103478681


Lucas-Lehmer results:
No L-L results for M103478681


PRP results:
No PRP results for M103478681


CERT results:
No CERT results for M103478681


P-1 factor-bounds graph:
B1 = 746000, B2 = 21856000 (P-1 stage 2)
B1 = 746000 (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
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-03-03T02:29:32+00:00