is 2 2100113 - 1
has 632198 decimal digits
takes 0.138 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
Actual26714.148767.1642%500000150000000.12305.1532%14.271768.8563%
Target2620.292564.5161%100001400000.00161.4513%0.294265.0311%
Difference+5+13.8562+2.6481%+490000+14860000+0.1214+3.7019%+13.9775+3.8252%

Known prime factors (3 factors, 153.9 bits, 0.00732610% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2100113420022601928.646100
22 × 52
-25251.740e-112.383e-64.851e-6
210011312143760950834091650.109289121608
23 × 36140201
2014-05-208361402010.00010.18770.3506
2100113405308305448097525346792375.1019649678504159003
23 × 127 × 281 × 11756416603
2022-08-14281117564166034,434.661.066114.05

4 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16alpertronManual testing5000001500000012-
skipped known factor: 420022601
--0.123--5.153%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-05-20TJAOIManual testing??50.109163.10415e-50.5700.000


ECM factoring results:
Total ECM effort:6.698 GHz-days
Estimated T-Level:20.866
DigitsB1CompleteFacMiss
20110001.42723.992%
25500000.17384.102%
302500000.01898.240%
3510000000.00299.830%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.511
50000630000070.659
500006750000141.361
100000015500000024.168


Lucas-Lehmer results:
No L-L results for M2100113


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06Oliver KruseGTX-0
420022601
1214376095083409
63B9BFD7BD1F77__no
2017-11-17kkmrkkblmbrbkc4.xlarge
420022601
1214376095083409
63B9BFD7BD1F77__no
2022-08-16LordJuliusWhiteBox
420022601
1214376095083409
40530830544809752534679
FB4A33156E7B8323no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
2
this exponent TF target: 62
TF double-checked to: 67.7
ECM T-Level=20.87 ~= 53-bit
250
260
270
280
Last modified: 2022-08-16T20:55:38+00:00