is 2 2100941 - 1
has 632447 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.143167.1642%500000150000000.12305.1535%14.266168.8564%1.6922%
PrimeNet2580.018362.0690%90001600000.00162.6780%0.019963.0848%1.0158%
GPU722620.292464.5161%100001400000.00161.4514%0.294165.0312%0.5150%
Difference+5+13.8507+2.6481%+490000+14860000+0.1214+3.7020%+13.9721+3.8252%+3.8252%

Known prime factors (3 factors, 129.3 bits, 0.00615314% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
210094112605647823.5883
3
-135.323e-131.057e-71.940e-7
21009412714541828471237.98264603
7 × 11 × 839
2008-07-14118391.728e-85.350e-68.144e-6
21009412404680359802661376632167.70457228650395291
17 × 401 × 8394990523
2019-08-30401839499052317.19543.60681.443

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
210094134218556056427370091961.569
210094130312551763505338974331829612891.292
21009416527605420784613901689447526656132105.686
210094182284689689697305875989879146049886996739129.274
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:12:54alpertronManual testing5000001500000012-
skipped known factor: 12605647
skipped known factor: 271454182847
--0.123--5.153%


Trial Factoring results:
No TF results for M2100941


ECM factoring results:

Old Calculation Method

Total ECM effort:1.702 GHz-days
Estimated T-Level:0.950
DigitsB1CurvesCompleteFacMiss
201100019 / 1000.19082.617%
255000019 / 2800.06893.428%

New Calculation Method

Total ECM effort:1.702 GHz-days
Estimated T-Level:0.950
DigitsB1CompleteFacMiss
20110000.62853.340%
25500000.05794.446%
302500000.00499.648%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000100.851
50000500000020.170
50000675000070.681


Lucas-Lehmer results:
No L-L results for M2100941


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T00:24:40Oliver KruseGTX-1
12605647
271454182847
09006D1283F81C__no
2017-11-17T03:47:33kkmrkkblmbrbkc4.xlarge
12605647
271454182847
09006D1283F81C__no
2019-08-31T04:53:33mnd975211b
12605647
271454182847
240468035980266137663
5DAEB3FB032DC4B9no
2019-09-01T04:34:31kkmrkkblmbrbkc5.large
12605647
271454182847
240468035980266137663
5DAEB3FB032DC4B9no


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
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2022-02-17T21:51:24+00:00