is 2 3093689 - 1
has 931294 decimal digits
takes 0.263 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9A735D8417A07214double-checked
PRP133F6D9DB9FBE3A2verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26938.590468.1159%30000001000000001.02247.4166%39.612970.4807%2.3647%
PrimeNet2600.049663.3333%120002200000.00292.5294%0.052564.2608%0.9275%
GPU722641.150565.6250%140002400000.00321.5065%1.153866.1429%0.5179%
Difference+5+37.4399+2.4909%+2986000+99760000+1.0192+5.9101%+38.4591+4.3378%+4.3378%

Known prime factors (1 factor, 82.0 bits, 0.00264978% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
309368947559207758357477756762172581.976768648816321832572
22 × 3 × 7 × 47 × 263 × 4201 × 176214803
2021-11-174201176214803210,1081.18532.2129

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.201%
2009-07-03T00:56:00Carsten Kossendeyleela15000180000---0.003--0.650%
2011-08-16T14:12:00harleeP4_26001000002125000---0.026--2.252%
2016-04-17T01:25:05Jocelyn LaroucheManual testing20000061709116---0.065--3.255%
2018-05-10T05:59:05mikrMSI300000010000000012---1.022--7.417%
2022-02-20T22:18:33Jocelyn LaroucheManual testing1000000128282700---0.979--6.926%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-13T00:00:00ANONYMOUSv4_computers21259--0.025--
2001-07-17T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-13T19:38:00Sturle Sundegicy.ifi260261--0.050--
2011-12-02T06:42:00Sid & AndyBuzz261262--0.099--
2013-01-03T08:40:00dbaughManual testing262263--0.317--
2015-02-07T18:29:00VictordeHollanderManual testing263264--0.635--
2015-02-07T18:29:00VictordeHollanderManual testing264265--1.208--
2015-06-11T22:04:00ThaManual testing265266--2.415--
2017-05-18T12:32:22Gordon SpenceManual testing266267--4.831--
2022-01-20T22:38:02Jocelyn LaroucheManual testing267268--9.66--
2018-08-19T20:55:20ramgeisManual testing267268--9.66--
2021-03-01T10:18:25TJAOIManual testing268269--19.32--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.566 GHz-days
Estimated T-Level:4.050
DigitsB1CurvesCompleteFacMiss
201100081 / 1000.81044.305%
255000081 / 2800.28974.841%

New Calculation Method

Total ECM effort:9.566 GHz-days
Estimated T-Level:4.050
DigitsB1CompleteFacMiss
20110002.6287.219%
25500000.23878.850%
302500000.01598.547%


ECM Summary

B1B2factorcurvesGHz-days
500005000000718.290
50000500000030.350
50000650000070.926


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-08T00:00:00ANONYMOUSv4_computers9A735D8417A072140.263
1999-05-30T00:00:00ANONYMOUSv4_computers9A735D8417A072140.263


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-17T20:03:41SRJ2877LTOS
4755920775835747775676217
133F6D9DB9FBE3A2no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 128282700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 200000, B2 = 6170911 (P-1 stage 2)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-20T22:18:33+00:00