is 2 2112193 - 1
has 635834 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
Actual26714.067867.1642 %500000150000000.12305.1568 %14.190868.8574 %
Target2620.290964.5161 %100007000000.00451.4530 %0.295465.0317 %
Difference+5+13.7769+2.6481 %+490000+14300000+0.1184+3.7038%+13.8954+3.8257 %

Known prime factors (2 factors, 119.0 bits, 0.00563262% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2112193187470308834331444.0924437812
22 × 29 × 67 × 571
-675711.737e-69.006e-61.300e-5
2112193347644319044252189845612374.8808229463856859960
23 × 33 × 5 × 11 × 13 × 19 × 83 × 33789367
2022-10-2883337893672,846.40.17550.3278

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-21alpertronManual testing5000001500000012
skipped known factor: 18747030883433
---8.234%


Trial Factoring results:
5758596061626364656667
No TF results for M2112193


ECM factoring results:
Total ECM effort:20.986 GHz-days
Estimated T-Level:22.050
DigitsB1CompleteFacMiss
20110004.3351.310%
25500000.41066.361%
302500000.02697.406%
3510000000.00199.875%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.355
50000500000060.511
50000500000030.255
50000545000070.618
50000674176270.681
50000675000070.681
50000700000070.693
50000713563670.700
50000389106905016.49


Lucas-Lehmer results:
No L-L results for M2112193


PRP results:
dateuseridcompidcofactorsres64
2017-10-07Oliver KruseGTX-0
18747030883433
C970218F42ACC59F
2017-11-17kkmrkkblmbrbkold
18747030883433
C970218F42ACC59F
2022-10-28Kevin_9611PI
18747030883433
34764431904425218984561
D9F9C1C60FF3AB5C


CERT results:
dateuseridcompid
2022-10-28Noodlesjoe-linux


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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106
100
101
102
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104
105
106
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108
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=22.05 ~= 57-bit
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JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00