is 2 2305837 - 1
has 694127 decimal digits
takes 0.156 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
Actual26712.886467.1642 %50000005050000003.158210.9728 %16.044670.7672 %
Target2620.266464.5161 %1200010000000.00641.7384 %0.272965.1330 %
Difference+5+12.6200+2.6481 %+4988000+504000000+3.1518+9.2344%+15.7717+5.6342 %

Known prime factors (4 factors, 150.1 bits, 0.00650763% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
230583743303618871032.012939
3 × 313
-33132.986e-101.948e-63.152e-6
2305837323877865031134.9157023
3 × 2341
2008-07-14323411.509e-91.277e-52.333e-5
23058371828252040571237.41239644
22 × 11 × 17 × 53
2008-07-1417531.255e-81.857e-63.389e-6
2305837578393570542571445.71712541944
23 × 3 × 263 × 1987
2014-01-2826319873.469e-63.496e-55.243e-5

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2018-02-19alpertronManual testing5000001500000012
skipped known factor: 4330361887
skipped known factor: 32387786503
skipped known factor: 182825204057
skipped known factor: 57839357054257
---8.314%
2021-06-11ViliamF35000000505000000
skipped known factor: 4330361887
skipped known factor: 32387786503
skipped known factor: 182825204057
skipped known factor: 57839357054257
--3.15815.463%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-01-28TJAOIManual testing??
45.717
14


ECM factoring results:
Total ECM effort:9.389 GHz-days
Estimated T-Level:21.402
DigitsB1CompleteFacMiss
20110002.9974.991%
25500000.28075.550%
302500000.01898.230%


ECM Summary

B1B2factorcurvesGHz-days
10.066
10.066
50000500000060.538
50000666038780.806
500007000000505.161
500004503922572.752


Lucas-Lehmer results:
No L-L results for M2305837


PRP results:
dateuseridcompidcofactorsres64
2017-10-11Oliver KruseGTX-18197CCEE8B882B__
2017-10-18Oliver KruseGTX-3
4330361887
32387786503
182825204057
57839357054257
952FBE629CCB0011
2017-11-23kkmrkkblmbrbkold
4330361887
32387786503
182825204057
57839357054257
952FBE629CCB0011


CERT results:
No CERT results for M2305837


P-1 factor-bounds graph:
B1 = 5000000, B2 = 505000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.4 ~= 54-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00