is 2 2704193 - 1
has 814044 decimal digits
takes 0.209 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEB2042F2A140DD5Cdouble-checked
PRPA4A8C38DC9595335verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.041767.6471%60000060000000.10014.0794%22.141868.9669%1.3198%
PrimeNet2590.028462.7119%120002200000.00262.8438%0.031063.7723%1.0604%
GPU722630.590265.0794%140002200000.00281.6618%0.593065.6597%0.5803%
Difference+5+21.4514+2.5677%+586000+5780000+0.0973+2.4176%+21.5488+3.3072%+3.3072%

Known prime factors (1 factor, 78.5 bits, 0.00290327% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27041934304199916062642512849112478.51079583815135654935
3 × 5 × 7 × 757941096530047
2020-10-29775794109653004734,4714,624,6938,637,639

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.240%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.787%
2010-12-16T22:40:00Jocelyn LaroucheManual testing2000020000---0.002--0.268%
2010-12-26T14:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.371%
2011-01-18T00:04:00Jocelyn LaroucheManual testing5000050000---0.006--0.537%
2011-03-20T07:37:00James HeinrichWHS3000008000000---0.081--3.990%
2018-07-23T01:07:55Jocelyn Larouchelow 4M60000060000006---0.100--4.079%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-31T02:38:00Sturle Sundehummel.ifi260261--0.057--
2012-05-06T05:06:00Grant McCrackenthumper261262--0.114--
2013-01-10T10:18:00dbaughManual testing262263--0.363--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.726--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.382--
2016-01-29T11:11:44ramgeisManual testing265266--2.763--
2017-09-29T00:40:42Gordon SpenceManual testing266267--5.527--
2019-02-11T01:15:27chuenkitManual testing267268--11.05--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.320 GHz-days
Estimated T-Level:3.050
DigitsB1CurvesCompleteFacMiss
201100061 / 1000.61054.169%
255000061 / 2800.21880.393%

New Calculation Method

Total ECM effort:6.320 GHz-days
Estimated T-Level:3.050
DigitsB1CompleteFacMiss
20110001.96813.977%
25500000.17883.707%
302500000.01198.911%


ECM Summary

B1B2factorcurvesGHz-days
500005000000565.802
50000500000050.518


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computersEB2042F2A140DD5C0.209
2018-07-31T18:23:06kkmrkkblmbrbkoldEB2042F2A140DD5C0.209


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-29T15:10:11mrhx
430419991606264251284911
A4A8C38DC9595335no


P-1 factor-bounds graph:
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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: 2020-10-29T15:10:11+00:00