is 2 109999993 - 1
has 33113298 decimal digits
takes 482.778 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-
PRPCD03610C6FFEF14Dverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual277278.256164.9351%11500003421250018.78204.1249%297.038066.3815%1.4464%
PrimeNet2728.693962.5000%4500002400000011.02915.5074%19.723064.5653%2.0653%
GPU72276139.127264.4737%7000002600000013.22684.0479%152.354065.9117%1.4381%
Difference+1+139.1288+0.4614%+450000+8212500+5.5552+0.0771%+144.6840+0.4697%+0.4697%

Known prime factors:
No known factors for M109999993

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-01-30T23:15:15timbitManual testing1150000342125006---18.78--4.125%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-02T02:54:00rudimeiertreml265266--0.068--
2010-05-02T04:23:00rudimeiertreml266267--0.136--
2013-09-28T16:24:00ANONYMOUS267268--0.272--
2013-09-29T07:36:00Kelly Lowder268269--0.543--
2013-12-22T17:36:00mikrPogwizd269270--1.087--
2013-12-23T21:16:00mikrPogwizd270271--2.174--
2013-12-26T04:36:00mikrPogwizd271272--4.348--
2020-01-29T20:35:49Hans LoeblichManual testing272274--26.09--
2020-02-02T09:53:07Yves de WandelaarManual testing274275--34.78--
2020-02-02T09:53:07Yves de WandelaarManual testing275276--69.56--
2020-02-02T09:53:07Yves de WandelaarManual testing276277--139.1--


ECM factoring results:
No ECM results for M109999993


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2021-01-30T23:32:45ILoveYouTenderlysangdeok100A3E700C01C47__482.8
2022-04-11T14:08:06-Anonymous-timothe40F58C57E52212__482.8


PRP results:
dateuseridcompidcofactorsres64PRP
2022-02-28T14:12:25Ben Deloi-01f4b46e025ed91f3CD03610C6FFEF14Dno


P-1 factor-bounds graph:
B1 = 1150000, B2 = 34212500 (P-1 stage 2)
B1 = 1150000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-11T14:08:06+00:00