is 2 86269 - 1
has 25970 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
Actualunknown1000000000705525968647508,362.539275.9786%8,362.539275.9786%75.9786%
PrimeNet2400.000057.5000%900140000.00006.9069%0.000060.4354%2.9354%
GPU722440.000061.3636%500100000.00002.3808%0.000062.2835%0.9199%
Difference-440.0000-61.3636%+999999500+70552596854750+8,362.5392+73.5978%+8,362.5392+13.6951%+75.0587%

Known prime factors (3 factors, 243.5 bits, 0.28226313% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
862693937756084069824491858.4502282254392696
23 × 3 × 95093933029
2009-07-158950939330290.575711.26921.047
8626911854375872991657271960.0406870588434427
3 × 1021 × 28669 × 78241
2014-04-2328669782413.15496.823e-50.0001
862694298890446845863598500117557863037367938125.015249156153823845390493695160362531
3 × 1051 × 2794711 × 630843623 × 44821772382259
2022-05-30630843623448217723822591.960e+125,312.79,920.2

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
8626946679640716723435445785277923132542336118.490
8626916927982011816945828244855722565232907585403377664
559871
56183.465
8626950960663193723929909611138173976156726777673978959
699633
56185.055
8626920067066153931957793552437402547360544312372784162
436564962544892942741217
74243.506
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-19T01:49:36kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 1185437587299165727
--0.443--40.504%
2022-05-20T11:22:41George WoltmanSkylakeX10000000001000000000-
skipped known factor: 1185437587299165727
--2.175--35.724%
2022-05-30T17:31:22George WoltmanSkylakeX10000000007055259686475038125.0158,3630.00016,72567.385%


Trial Factoring results:
No TF results for M86269


ECM factoring results:
Total ECM effort:10.077 GHz-days
Estimated T-Level:30.919
DigitsB1CompleteFacMiss
201100090.6430.000%
255000014.6070.000%
302500001.80616.433%
3510000000.18483.202%
4030000000.01698.417%
45110000000.00199.880%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002720.426
250000250000005854.579
10000001000000001625.072


Lucas-Lehmer results:
No L-L results for M86269


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:37:04Oliver KruseOllaptop
393775608406982449
1185437587299165727
3C32E1B164E5D8__no
2017-09-21T21:39:54Oliver KruseManual testing
393775608406982449
1185437587299165727
3C32E1B164E5D8__no
2017-10-13T08:19:35kkmrkkblmbrbkManual testing
393775608406982449
1185437587299165727
3C32E1B164E5D8__no
2020-04-17T15:19:09Oliver KruseAddPrpType5
393775608406982449
1185437587299165727
0AAC18324DEE71__no
2022-05-30T19:33:27George WoltmanManual testing
393775608406982449
1185437587299165727
42988904468458635985001175578630373679
0AAC18324DEE71E6no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 70552596864750 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-30T19:33:27+00:00