is 2 2998363 - 1
has 902598 decimal digits
takes 0.255 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L519298795715D695double-checked
PRP598314B99A38E5A9verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.879167.6471%3000000900000000.95527.8901%20.834370.1997%2.5527%
PrimeNet2600.051263.3333%120002200000.00292.5149%0.054164.2554%0.9221%
GPU722641.187165.6250%130002000000.00291.3868%1.190066.1017%0.4767%
Difference+4+18.6920+2.0221%+2987000+89800000+0.9523+6.5033%+19.6444+4.0980%+4.0980%

Known prime factors (1 factor, 69.1 bits, 0.00230422% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29983636278200586003954533672169.089104693804352641
7 × 14956257764663
2020-09-1671495625776466344.832100,563187,823

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.248%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.146%
2010-10-19T20:16:00markrtiny1100002392500---0.029--2.644%
2016-09-13T03:53:08Jocelyn Larouchelow 4M15000026317506---0.035--2.858%
2016-09-21T12:09:23Jocelyn Larouchelow 4M1500002894925---0.037--2.922%
2016-10-08T02:42:58Jocelyn Larouchelow 4M1500001500000012---0.118--4.065%
2016-12-16T17:35:06Jocelyn Larouchelow 4M180000180000---0.022--1.178%
2016-12-24T02:28:34Jocelyn Larouchelow 4M216000216000---0.027--1.294%
2017-03-03T01:10:47Jocelyn Larouchelow 4M31104031104006---0.057--3.302%
2017-04-01T09:06:05Jocelyn Larouchelow 4M37324837324806---0.069--3.524%
2017-04-04T20:17:32Jocelyn Larouchelow 4M44789744789706---0.082--3.752%
2017-04-07T19:41:21Jocelyn Larouchelow 4M53747653747606---0.099--3.987%
2017-04-13T02:13:56Jocelyn Larouchelow 4M644971644971012---0.119--4.229%
2019-11-30T18:19:51BigBrotherWinston30000009000000012---0.955--7.890%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-02-14T03:27:00Sturle Sundeklengel.ifi260261--0.051--
2011-11-26T04:12:00Grant McCrackenthumper261262--0.102--
2013-01-07T13:51:00dbaughManual testing262263--0.327--
2015-02-01T14:25:00lycornManual testing263264--0.655--
2015-02-01T14:25:00lycornManual testing264265--1.246--
2016-02-24T09:33:34ramgeisManual testing265266--2.492--
2017-12-07T01:23:30Gordon SpenceManual testing266267--4.985--
2018-12-30T14:49:37chuenkitManual testing267268--9.97--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.090 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:2.090 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.742
50000500000030.348


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers519298795715D6950.255
2018-10-24T07:31:58kkmrkkblmbrbkold519298795715D6950.255


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-16T16:04:38Klaus Nordmannno1
627820058600395453367
598314B99A38E5A9no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 644971, B2 = 6449710 (P-1 stage 2)
B1 = 150000, B2 = 15000000 (P-1 stage 2)
B1 = 537476, B2 = 5374760 (P-1 stage 2)
B1 = 447897, B2 = 4478970 (P-1 stage 2)
B1 = 644971 (P-1 stage 1)
B1 = 373248, B2 = 3732480 (P-1 stage 2)
B1 = 537476 (P-1 stage 1)
B1 = 311040, B2 = 3110400 (P-1 stage 2)
B1 = 447897 (P-1 stage 1)
B1 = 373248 (P-1 stage 1)
B1 = 311040 (P-1 stage 1)
B1 = 150000, B2 = 2894925 (P-1 stage 2)
B1 = 150000, B2 = 2631750 (P-1 stage 2)
B1 = 110000, B2 = 2392500 (P-1 stage 2)
B1 = 216000 (P-1 stage 1)
B1 = 180000 (P-1 stage 1)
B1 = 150000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-09-16T16:04:38+00:00