is 2 26111 - 1
has 7861 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2671,137.984777.6119%500000000100000000000.668113.5746%1,138.652780.6510%3.0391%
PrimeNet2400.000062.5000%500100000.00003.9603%0.000063.9851%1.4851%
GPU722440.000165.9091%500100000.00001.6881%0.000166.4846%0.5755%
Difference+23+1,137.9846+11.7028%+499999500+9999990000+0.6681+11.8866%+1,138.6526+14.1665%+14.1665%

Known prime factors (3 factors, 144.0 bits, 0.55159515% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2611152223515.6721
1
-111.672e-136.565e-101.336e-9
26111208889617.6724
22
2008-08-26446.693e-132.626e-95.345e-9
26111208292139030001211980045945702216734110.68239885898477653328478427855253
7 × 347 × 16420707483595441942539257
2018-06-30347164207074835954419425392576.999e+125.874e+141.097e+15

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
26111109088102471133.345
2611110877640376563753293233939422406862724139126.355
2611143509936629837923169299817551790344246339128.355
261112272219420620025861670344372007147147574524944144.027
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-12-15T22:44:23kkmrkkblmbrbkManual testing5000000001000000000012-
skipped known factor: 52223
skipped known factor: 208889
--0.668--13.575%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??17.67265.78986e-162.99227e-51.46542e-15


ECM factoring results:

Old Calculation Method

Total ECM effort:17.195 GHz-days
Estimated T-Level:31.899
DigitsB1CurvesCompleteFacMiss
2011000771 / 1007.7100.043%
2550000771 / 2802.7546.339%
30250000651 / 6401.01736.132%
351000000600 / 15800.38068.395%
403000000600 / 47000.12888.014%

New Calculation Method

Total ECM effort:17.195 GHz-days
Estimated T-Level:31.899
DigitsB1CompleteFacMiss
2011000128.6040.000%
255000029.6160.000%
302500005.6520.351%
3510000000.87541.670%
4030000000.11389.358%
45110000000.01298.768%
50440000000.00199.879%


ECM Summary

B1B2factorcurvesGHz-days
500005000000940.044
10000010000000250.024
2000002000000010.002
25000025000000510.120
30000003000000002196.207
300000030000000038110.80


Lucas-Lehmer results:
No L-L results for M26111


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:35:32Oliver KrusePRP
52223
208889
CE9B9E469DC8E2__no
2017-09-21T20:27:13Oliver KruseManual testing
52223
208889
CE9B9E469DC8E2__no
2017-10-12T16:30:01kkmrkkblmbrbkManual testing
52223
208889
CE9B9E469DC8E2__no
2018-06-30T21:31:13Oliver KruseGTX-5
52223
208889
2082921390300012119800459457022167
FBD1614D836430__no
2018-07-01T15:13:05BattlemaxxWork-3
52223
208889
2082921390300012119800459457022167
FBD1614D836430__no
2022-05-12T18:18:45Jorge CoveiroManual testing
52223
FBD1614D83643001no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-12T18:18:45+00:00