is 2 103164667 - 1
has 31055660 decimal digits
takes 410.760 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-
PRP5091F82F525A8B31verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual276148.345364.4737%8550001795500010.31493.8358%158.660265.8364%1.3627%
PrimeNet2729.270062.5000%450000220000009.37655.3847%18.646464.5193%2.0193%
GPU72276148.345364.4737%6500002200000010.46823.8551%158.813565.8432%1.3696%
Difference---+205000-4045000-0.1533-0.0193%-0.1533-0.0068%-0.0068%

Known prime factors:
No known factors for M103164667

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-03-17T10:38:40Ben Deloi-0bbf02244c1355beb8550001795500012---10.31--3.836%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-04-16T04:33:00Donna NoblePhenom9550263264--0.019--
2010-08-21T20:19:00carlos56phenom810264265--0.036--
2012-04-27T09:01:00nextPrimeMO505265266--0.072--
2014-05-07T19:08:00Andreas_TruetschManual testing266267--0.145--
2014-07-17T10:16:00g0bManual testing267268--0.290--
2014-07-20T11:01:00PascalBieriManual testing268269--0.579--
2014-07-26T13:15:00PascalBieriManual testing269270--1.159--
2014-08-01T08:23:00PascalBieriManual testing270271--2.318--
2014-12-16T01:54:00shaugeManual testing271272--4.636--
2019-11-28T16:01:46Ryan PropperManual testing272273--9.272--
2020-01-10T15:03:30Niels_Mache_NextcloudManual testing272273--9.272--
2020-01-10T15:03:30Niels_Mache_NextcloudManual testing273274--18.54--
2020-02-13T15:58:33ViliamFManual testing273274--18.54--
2020-11-28T16:57:01storm5510Manual testing274275--37.09--
2020-12-03T19:48:06tServoManual testing275276--74.17--


ECM factoring results:
No ECM results for M103164667


Lucas-Lehmer results:
No L-L results for M103164667


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-19T06:12:17Ben Deloi-0915fe0a4b3dc2af05091F82F525A8B31no


P-1 factor-bounds graph:
B1 = 855000, B2 = 17955000 (P-1 stage 2)
B1 = 855000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-03-19T06:12:17+00:00