is 2 2199931 - 1
has 662246 decimal digits
takes 0.145 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
Actual26713.506767.1642 %500000150000000.12305.1820 %13.629768.8657 %
Target2620.279364.5161 %110008500000.00541.6000 %0.284765.0839 %
Difference+5+13.2275+2.6481 %+489000+14150000+0.1176+3.5820%+13.3451+3.7819 %

Known prime factors (2 factors, 117.6 bits, 0.00534605% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2199931299894593931134.8046816
25 × 3 × 71
-32711.535e-93.253e-66.209e-6
219993184527221136724482093154492582.8061921133461384118004
22 × 3 × 179 × 337 × 323333 × 8208113
2016-04-033233338208113840,7260.07180.0796

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-04-03alpertronManual testing500000150000001222582.8060.1238.271%


Trial Factoring results:
5758596061626364656667
No TF results for M2199931


ECM factoring results:
Total ECM effort:14.399 GHz-days
Estimated T-Level:21.829
DigitsB1CompleteFacMiss
20110003.8862.052%
25500000.36669.361%
302500000.02397.689%
3510000000.00199.889%


ECM Summary

B1B2factorcurvesGHz-days
5000050000211.065
500005000000100.856
50000656993570.677
50000669412970.683
50000715000070.705
50000216173105010.41


Lucas-Lehmer results:
No L-L results for M2199931


PRP results:
dateuseridcompidcofactorsres64
2017-10-10Oliver KruseGTX-0
29989459393
8452722113672448209315449
FA92FEEA90EECAE3
2017-11-19kkmrkkblmbrbkc4.xlarge
29989459393
8452722113672448209315449
FA92FEEA90EECAE3


CERT results:
No CERT results for M2199931


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
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.83 ~= 56-bit
250
260
270
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290
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Last modified: 2024-03-13T02:15:48+00:00