is 2 2111959 - 1
has 635764 decimal digits
takes 0.139 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
Actual26714.069467.1642 %500000150000000.12305.1567 %14.192368.8574 %
Target2620.290964.5161 %100007000000.00451.4530 %0.295465.0317 %
Difference+5+13.7785+2.6481 %+490000+14300000+0.1184+3.7037%+13.8969+3.8257 %

Known prime factors (3 factors, 164.2 bits, 0.00777501% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2111959108257159816091443.3002562956
22 × 11 × 31 × 1879
-3118799.723e-71.255e-51.823e-5
211195940181703628714811651.835951289860
22 × 3 × 5 × 43 × 368717
2014-07-12433687170.00030.00190.0036
21119596196979037780521573292169.070146711632133496
23 × 3 × 6112984672229
2023-01-218611298467222959.91131,75259,305

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-20alpertronManual testing5000001500000012
skipped known factor: 10825715981609
skipped known factor: 4018170362871481
---8.234%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-07-12TJAOIManual testing??
51.835
16
7.41675e-6


ECM factoring results:
Total ECM effort:10.524 GHz-days
Estimated T-Level:21.967
DigitsB1CompleteFacMiss
20110004.1481.579%
25500000.39367.472%
302500000.02597.516%
3510000000.00199.882%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.107
50000500000080.681
50000684549470.686
50000690000070.689
50000700000070.693
50000701793770.694
597578520636505.974


Lucas-Lehmer results:
No L-L results for M2111959


PRP results:
dateuseridcompidcofactorsres64
2017-10-07Oliver KruseGTX-0
10825715981609
4018170362871481
B7A060CE3261E18F
2017-11-17kkmrkkblmbrbkc4.xlarge
10825715981609
4018170362871481
B7A060CE3261E18F
2023-01-23_p95holder_TFL16_PRPt11-E_b
10825715981609
4018170362871481
619697903778052157329
6721336F9B87DBAD
2023-01-27Funky Waddlemain
10825715981609
4018170362871481
619697903778052157329
6721336F9B87DBAD


CERT results:
dateuseridcompid
2023-01-27CheshireJesterStarla


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
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105
106
100
101
102
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105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.97 ~= 56-bit
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270
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Last modified: 2024-03-13T02:15:48+00:00