is 2 2235971 - 1
has 673095 decimal digits
takes 0.147 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
Actual26713.289067.1642 %500000150000000.12305.1922 %13.412068.8691 %
Target2620.274864.5161 %110009500000.00591.6579 %0.280765.1044 %
Difference+5+13.0143+2.6481 %+489000+14050000+0.1171+3.5343%+13.1313+3.7647 %

Known prime factors (2 factors, 104.5 bits, 0.00467439% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
223597140247479825.2629
32
-992.003e-128.580e-71.746e-6
22359717216628047384254486013612479.256161375707631813080
23 × 5 × 7 × 53 × 10874373829637
2022-10-20531087437382963797,89756,484105,497

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-04-18alpertronManual testing5000001500000012
skipped known factor: 40247479
---8.286%


Trial Factoring results:
5758596061626364656667
No TF results for M2235971


ECM factoring results:
Total ECM effort:7.803 GHz-days
Estimated T-Level:21.536
DigitsB1CompleteFacMiss
20110003.2913.721%
25500000.30773.555%
302500000.02098.067%


ECM Summary

B1B2factorcurvesGHz-days
500005000000100.858
50000590000060.533
500007000000504.998
50000713563670.706
50000715000070.707


Lucas-Lehmer results:
No L-L results for M2235971


PRP results:
dateuseridcompidcofactorsres64
2017-10-09Oliver KruseGTX-1
40247479
4CD99A061BF4D23F
2017-11-20kkmrkkblmbrbkc4.xlarge
40247479
4CD99A061BF4D23F
2022-10-20Kevin_9611
40247479
721662804738425448601361
433CC03C05085200


CERT results:
dateuseridcompid
2022-10-20curtiscwcm201--14l


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
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109
1010
1011
1012
1013
1014
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.54 ~= 55-bit
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Last modified: 2024-03-13T02:15:48+00:00