is 2 2997959 - 1
has 902476 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-L8EE6FF2D43B3C6D6double-checked
PRPC4CDE86A41AD1524verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26939.822768.1159%3000000900000000.95527.2695%40.777970.4337%2.3178%
PrimeNet2600.051263.3333%120002200000.00292.5148%0.054164.2554%0.9221%
GPU722641.187365.6250%130002000000.00291.3867%1.190166.1017%0.4767%
Difference+5+38.6354+2.4909%+2987000+89800000+0.9523+5.8827%+39.5878+4.3320%+4.3320%

Known prime factors (1 factor, 93.1 bits, 0.00310514% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2997959105463696247977106549995734312993.0911758924926057646327885
3 × 5 × 31 × 1111559711 × 3402996899
2021-08-26111155971134029968991.023e+9152.59279.18

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.200%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.120%
2010-10-20T01:01:00markrtiny1100002392500---0.029--2.350%
2016-09-13T03:53:08Jocelyn Larouchelow 4M15000026317506---0.035--2.550%
2016-09-21T12:09:22Jocelyn Larouchelow 4M1500002894925---0.037--2.608%
2016-10-07T05:48:08Jocelyn Larouchelow 4M1500001500000012---0.118--3.650%
2016-12-16T17:35:06Jocelyn Larouchelow 4M180000180000---0.022--1.032%
2016-12-24T02:28:34Jocelyn Larouchelow 4M216000216000---0.027--1.136%
2017-03-03T01:10:47Jocelyn Larouchelow 4M31104031104006---0.057--2.968%
2017-04-01T09:06:05Jocelyn Larouchelow 4M37324837324806---0.069--3.173%
2017-04-04T20:17:32Jocelyn Larouchelow 4M44789744789706---0.082--3.386%
2017-04-07T19:41:21Jocelyn Larouchelow 4M53747653747606---0.099--3.605%
2017-04-13T02:13:56Jocelyn Larouchelow 4M644971644971012---0.119--3.831%
2019-11-29T18:08:20BigBrotherWinston30000009000000012---0.955--7.269%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21260--0.051--
1999-08-07T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-02-13T22:45:00Sturle Sundeklengel.ifi260261--0.051--
2011-11-26T05:31:00markroldgamer261262--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--2.493--
2017-12-07T01:23:29Gordon SpenceManual testing266267--4.985--
2018-12-30T14:49:37chuenkitManual testing267268--9.97--
2021-04-15T09:04:55TJAOIManual testing268269--19.94--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.995 GHz-days
Estimated T-Level:4.250
DigitsB1CurvesCompleteFacMiss
201100085 / 1000.85042.559%
255000085 / 2800.30473.778%

New Calculation Method

Total ECM effort:9.995 GHz-days
Estimated T-Level:4.250
DigitsB1CompleteFacMiss
20110002.7586.345%
25500000.25077.915%
302500000.01598.474%


ECM Summary

B1B2factorcurvesGHz-days
500005000000738.477
50000500000050.581
50000675000070.938


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computers8EE6FF2D43B3C6D60.255
2018-10-24T05:11:38kkmrkkblmbrbkold8EE6FF2D43B3C6D60.255


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-26T10:33:56SRJ2877LTOS
10546369624797710654999573431
C4CDE86A41AD1524no


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: 2021-08-26T10:33:56+00:00