is 2 86539 - 1
has 26051 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
Actualunknown1000000000705525968647508,362.539275.9838%8,362.539275.9838%75.9838%
PrimeNet2400.000057.5000%900140000.00006.9115%0.000060.4374%2.9374%
GPU722440.000061.3636%500100000.00002.3829%0.000062.2843%0.9207%
Difference-440.0000-61.3636%+999999500+70552596854750+8,362.5392+73.6009%+8,362.5392+13.6995%+75.0631%

Known prime factors (4 factors, 266.9 bits, 0.30835980% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8653914019319823.74181
34
-81811.314e-111.762e-73.585e-7
865394386876435258661691858.6062534623947156
22 × 3 × 7 × 29 × 1040486021
2009-07-152910404860210.87930.12330.2303
865397473482127890308571859.3754317985028652
22 × 3 × 359832085721
2009-07-1543598320857210.958942.64079.640
865394654749443705446729477817990071621051938125.130268939405568902271200142016320481
3 × 19 × 82847 × 18235109 × 637388299 × 4899935329
2022-06-0163738829948999353291.699e+121.89142.8214

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
8653961501020159474025745189112582.347
86539104773129991693032851263832683.115
8653932785242636168754447996451299337683336117.981
86539459626775008850706439131161633379470903672743141.721
8653965256417316379199738056233826752888373701656145148.871
8653920419810646624788696329470309115963573654350698824
031711
56183.736
8653934787186777340012106236768570691896362752528527598
984783
56184.505
8653928627183937462918604143697336452530133144033818468
7025422624809
63207.477
8653948769266854411160118119514812170374582436741548501
0471749022777
63208.246
8653915260708992245460361363721780933657389785532951688
365555518825365125506327
74243.111
8653921394474752845763510781329067415706078411072803473
0785311430623298985948234731313
81266.851
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-19T01:49:36kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 14019319
skipped known factor: 438687643525866169
--0.443--40.509%
2022-05-16T18:34:19George WoltmanSkylakeX10000000001000000000-
skipped known factor: 14019319
--2.175--35.728%
2022-06-01T16:36:05George WoltmanSkylakeX10000000007055259686475038125.1308,3630.00016,72567.391%


Trial Factoring results:
No TF results for M86539


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
10.00000e+0
5000050000002720.426
250000250000005854.579
10000001000000001625.072


Lucas-Lehmer results:
No L-L results for M86539


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:37:06Oliver KruseOliver-PC
14019319
438687643525866169
747348212789030857
9A3FC52DF4D466BDno
2017-09-21T21:30:13Oliver KruseManual testing
14019319
438687643525866169
747348212789030857
9A3FC52DF4D466BDno
2017-10-02T18:07:03kkmrkkblmbrbkManual testing
14019319
438687643525866169
747348212789030857
9A3FC52DF4D466__no
2017-12-07T03:56:37ATHxps
14019319
438687643525866169
747348212789030857
9A3FC52DF4D466__no
2020-04-17T15:19:18Oliver KruseAddPrpType5
14019319
438687643525866169
747348212789030857
C28D0FEF38939F__no
2022-06-01T17:33:10George WoltmanManual testing
14019319
438687643525866169
747348212789030857
46547494437054467294778179900716210519
C28D0FEF38939FFCno


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: 2022-06-01T17:33:10+00:00