is 2 96281 - 1
has 28984 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
Actualunknown10000000007054150603500012,386.999976.1597%12,386.999976.1597%76.1597%
PrimeNet2400.000057.5000%1000170000.00007.6209%0.000060.7389%3.2389%
GPU722440.000061.3636%1100140000.00003.7109%0.000062.7974%1.4338%
Difference-440.0000-61.3636%+999998900+70541506021000+12,386.9999+72.4488%+12,386.9999+13.3623%+74.7260%

Known prime factors (2 factors, 203.2 bits, 0.21102325% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
962817509919722.84039
3 × 13
-3135.852e-121.142e-81.967e-8
9628119329648425043344874974269692148707105580939766081
97223
55180.33510038142741061759264535198892901354943125299781931
32 × 7 × 2917 × 3517 × 18959 × 62827 × 1454897 × 2665811 × 29707709 × 113164837927
2022-08-20297077091131648379271.609e+1219.95737.105

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
9628114516409397055309150012189247219172631763730558715
455880754937
62203.175
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-01-06T13:06:31kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 7509919
--0.656--40.708%
2022-08-04T12:07:12George WoltmanSkylakeX10000000001000000000-
skipped known factor: 7509919
--3.222--35.876%
2022-08-20T14:27:11George WoltmanSkylakeX10000000007054150603500055180.33512,3870.00024,77467.582%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-23T11:03:04nordisweet1640000000200000000027--0.533
2021-05-01T02:50:41nordisweet1640000000200000000065--0.533


Trial Factoring results:
No TF results for M96281


ECM factoring results:
Total ECM effort:13.288 GHz-days
Estimated T-Level:30.804
DigitsB1CompleteFacMiss
201100084.9910.000%
255000013.4260.000%
302500001.62119.768%
3510000000.16185.145%
4030000000.01498.649%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.015
5000050000002740.636
250000250000005856.788
10000001000000001265.848


Lucas-Lehmer results:
No L-L results for M96281


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:50:03Oliver KruseDoppelherz
7509919
E48787FB917D6D__no
2017-09-22T10:00:15Oliver KruseManual testing
7509919
E48787FB917D6D__no
2017-10-13T09:00:40kkmrkkblmbrbkManual testing
7509919
E48787FB917D6D__no
2020-04-17T15:25:54Oliver KruseAddPrpType5
7509919
854D75A78A9D96__no
2022-08-20T17:58:50George WoltmanManual testing
7509919
19329648425043344874974269692148707105580939766081
97223
854D75A78A9D9666no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 70541506035000 (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: 2022-08-20T17:58:50+00:00