is 2 2986163 - 1
has 898925 decimal digits
takes 0.254 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB726943D18A8E4FEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.960467.6471%3000000900000000.95527.8869%20.915670.1987%2.5516%
PrimeNet2600.051463.3333%120002200000.00292.5130%0.054364.2548%0.9214%
GPU722641.191965.6250%130002000000.00291.3857%1.194866.1013%0.4763%
Difference+4+18.7684+2.0221%+2987000+89800000+0.9523+6.5012%+19.7208+4.0974%+4.0974%

Known prime factors (1 factor, 77.3 bits, 0.00258977% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29861631905694413369192564693832477.33531908747335111857
7 × 172 × 89 × 177224543231
2020-09-1528917722454323112,5951,191.62,225.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.247%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.146%
2010-10-23T18:17:00markrtiny1000002025000---0.025--2.495%
2016-06-20T03:57:42Jocelyn LaroucheManual testing19840040500006---0.050--3.295%
2017-07-10T01:11:32Jocelyn Larouchelow 4M39680039680006---0.073--3.598%
2019-11-08T19:45:54BigBrotherWinston30000009000000012---0.955--7.887%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-27T00:00:00mhoneyv4_computers21259--0.026--
1998-03-17T00:00:00mhoneyv4_computers21259--0.026--
1999-05-02T00:00:00cmortonv4_computers21260--0.051--
2009-02-14T04:41:00Sturle Sundedoak.ifi260261--0.051--
2011-11-25T16:46:00Sebastian HornbostelManual testing261262--0.103--
2013-01-07T13:51:00dbaughManual testing262263--0.329--
2015-04-11T15:51:00lycornManual testing263264--0.657--
2015-04-11T15:52:00lycornManual testing264265--1.251--
2016-02-29T09:27:36ramgeisManual testing265266--2.502--
2017-12-04T21:22:21Gordon SpenceManual testing266267--5.005--
2018-12-28T09:55:50chuenkitManual testing267268--10.01--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.321 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:2.321 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.64552.458%
25500000.05894.336%
302500000.00499.642%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.741
50000500000050.580


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-27T00:00:00mhoneyv4_computersB726943D18A8E4FE0.254
1998-03-17T00:00:00mhoneyv4_computersB726943D18A8E4FE0.254
1999-06-26T00:00:00cmortonv4_computersB726943D18A8E4FE0.254
2018-10-21T11:21:48kkmrkkblmbrbkoldB726943D18A8E4FE0.254


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-16T15:40:30Klaus Nordmannno1
190569441336919256469383
B435398C3A46A299no
2020-09-21T19:43:50Wentao Huangtp-win
190569441336919256469383
B435398C3A46A299no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 396800, B2 = 3968000 (P-1 stage 2)
B1 = 198400, B2 = 4050000 (P-1 stage 2)
B1 = 396800 (P-1 stage 1)
B1 = 100000, B2 = 2025000 (P-1 stage 2)
B1 = 198400 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
101
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103
104
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107
101
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1010
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1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2020-09-21T19:43:50+00:00