is 2 2791631 - 1
has 840365 decimal digits
takes 0.216 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
Actual27085.595368.5714 %2120001480455900.92585.0312 %86.521170.1527 %
Target2630.571765.0794 %1500013000000.00951.7887 %0.581265.7040 %
Difference+7+85.0236+3.4921 %+197000+146745590+0.9163+3.2425%+85.9399+4.4487 %

Known prime factors (4 factors, 198.9 bits, 0.00712445% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
279163128809631931031.424516
22 × 3 × 43
-4431.139e-106.859e-79.117e-7
27916311230985545914091546.80722047784
23 × 11 × 250543
2014-02-20112505434.190e-60.00150.0029
279163114249055233376411650.340255210220
22 × 5 × 12760511
2014-05-265127605117.024e-50.07790.1454
279163114715115042461327144232270.318263557666512181
263557666512181
2018-04-281263557666512181143.461,608,1373,003,553

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2023-01-19USAFSSUSAFSACS212000148045590
skipped known factor: 2880963193
skipped known factor: 123098554591409
skipped known factor: 1424905523337641
--1.0209.778%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-02-20TJAOIManual testing??
46.807
15
2014-05-26TJAOIManual testing??
50.340
16
2018-05-08Ducho_YYZManual testing261270


ECM factoring results:
Total ECM effort:0.304 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.304


Lucas-Lehmer results:
No L-L results for M2791631


PRP results:
dateuseridcompidcofactorsres64
2017-10-21Oliver KruseGTX-1
2880963193
123098554591409
1424905523337641
B70A23E13BD99724
2017-12-06kkmrkkblmbrbkc4.xlarge
2880963193
123098554591409
1424905523337641
B70A23E13BD99724
2018-04-30Kingaiiai
2880963193
123098554591409
1424905523337641
1471511504246132714423
B70A23E13BD99724


CERT results:
No CERT results for M2791631


P-1 factor-bounds graph:
B1 = 212000, B2 = 148045590 (P-1 stage 2)
B1 = 212000 (P-1 stage 1)
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TF factor-bounds graph:
270
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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Last modified: 2024-03-13T02:15:48+00:00