is 2 3003167 - 1
has 904044 decimal digits
takes 0.256 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4061EAE923920A2Bdouble-checked
PRPD9D3842EB1EBFE57verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272318.441769.4444%32792856186919279216.394510.4226%334.836372.6291%3.1847%
PrimeNet2600.051163.3333%120002200000.00292.5156%0.054064.2557%0.9224%
GPU722641.185265.6250%130002000000.00291.3872%1.188166.1019%0.4769%
Difference+8+317.2565+3.8194%+32779856+1868992792+16.3917+9.0354%+333.6482+6.5273%+6.5273%

Known prime factors (1 factor, 72.4 bits, 0.00241160% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
300316763377890809216380583192272.4241055184257305977
3 × 351728085768659
2021-07-223351728085768659554.012,364,9414,417,052

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.066%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.103%
2009-05-28T11:13:00Rob_Deetwopc35000560000---0.008--0.793%
2010-06-28T09:16:00Rob_Deetwopc50000100000---0.007--0.451%
2010-06-29T07:22:00Rob_Deetwopc100000150000---0.013--0.606%
2010-06-30T07:35:00Rob_Deetwopc150000200000---0.019--0.725%
2010-07-01T08:00:00Rob_Deetwopc200000250000---0.025--0.825%
2010-07-02T08:00:00Rob_Deetwopc250000300000---0.031--0.912%
2010-07-03T07:12:00Rob_Deetwopc300000350000---0.037--0.989%
2010-07-04T07:53:00Rob_Deetwopc350000400000---0.044--1.059%
2010-07-05T07:08:00Rob_Deetwopc400000450000---0.050--1.124%
2010-07-06T07:30:00Rob_Deetwopc450000500000---0.056--1.183%
2010-07-07T07:19:00Rob_Deetwopc500000550000---0.062--1.239%
2010-07-08T08:11:00Rob_Deetwopc550000600000---0.068--1.291%
2010-07-09T07:19:00Rob_Deetwopc600000650000---0.074--1.339%
2010-07-10T07:12:00Rob_Deetwopc650000700000---0.081--1.386%
2010-07-11T08:17:00Rob_Deetwopc700000750000---0.087--1.430%
2010-07-12T08:36:00Rob_Deetwopc750000800000---0.093--1.471%
2010-07-13T08:47:00Rob_Deetwopc800000850000---0.099--1.511%
2010-07-14T08:39:00Rob_Deetwopc850000900000---0.105--1.549%
2010-07-15T08:40:00Rob_Deetwopc900000950000---0.111--1.586%
2010-07-16T08:21:00Rob_Deetwopc9500001000000---0.118--1.621%
2010-07-17T09:10:00Rob_Deetwopc10000001100000---0.124--1.688%
2016-07-21T15:24:49trebor16500004620000012---0.503--4.741%
2016-08-07T18:57:43trebor165000012000000012---0.999--5.573%
2016-09-13T00:23:39trebor165000030000000012---2.210--6.392%
2018-11-07T07:11:24oodairacom532792856186919279212---16.39--10.423%
2022-01-20T00:53:35Jocelyn LaroucheManual testing10000001222807950---8.339--7.193%
2022-07-27T00:19:42Jocelyn LaroucheManual testing30031673018308370---20.64--9.152%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-07T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-01-24T17:43:00Jayson Kingatlas260261--0.051--
2010-08-22T05:15:00Sid & AndyBuzz261262--0.102--
2013-01-07T13:52:00dbaughManual testing262263--0.327--
2013-12-13T02:00:00krackerManual testing263264--0.654--
2013-12-20T00:36:00David CampeauManual testing264265--1.244--
2015-05-30T14:36:00ThaManual testing265266--2.488--
2016-08-20T12:55:39treborManual testing266267--4.977--
2016-08-20T12:55:39treborManual testing267268--9.95--
2022-01-15T12:00:50Jocelyn LaroucheManual testing268269--19.91--
2017-09-04T15:57:43YxinityManual testing268269--19.91--
2017-09-04T15:57:43YxinityManual testing269270--39.81--
2020-02-01T18:25:24mikrManual testing270271--79.63--
2020-02-01T18:25:24mikrManual testing271272--159.3--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.496 GHz-days
Estimated T-Level:4.000
DigitsB1CurvesCompleteFacMiss
201100080 / 1000.80044.752%
255000080 / 2800.28675.109%

New Calculation Method

Total ECM effort:9.496 GHz-days
Estimated T-Level:4.000
DigitsB1CompleteFacMiss
20110003.1074.474%
25500000.28874.974%
302500000.01898.197%


ECM Summary

B1B2factorcurvesGHz-days
500005000000677.782
50000635000070.909
50000675000060.804


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-07T00:00:00ANONYMOUSv4_computers4061EAE923920A2B0.256
2012-08-30T06:18:00kdgehmani5-2500k4061EAE923920A2B0.256


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-24T06:50:31kutenscanopus
6337789080921638058319
D9D3842EB1EBFE57no


P-1 factor-bounds graph:
B1 = 3003167, B2 = 3018308370 (P-1 stage 2)
B1 = 32792856, B2 = 1869192792 (P-1 stage 2)
B1 = 1000000, B2 = 1222807950 (P-1 stage 2)
B1 = 32792856 (P-1 stage 1)
B1 = 1650000, B2 = 300000000 (P-1 stage 2)
B1 = 1650000, B2 = 120000000 (P-1 stage 2)
B1 = 1650000, B2 = 46200000 (P-1 stage 2)
B1 = 3003167 (P-1 stage 1)
B1 = 1650000 (P-1 stage 1)
B1 = 1000000, B2 = 1100000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 950000, B2 = 1000000 (P-1 stage 2)
B1 = 950000 (P-1 stage 1)
B1 = 900000, B2 = 950000 (P-1 stage 2)
B1 = 900000 (P-1 stage 1)
B1 = 850000, B2 = 900000 (P-1 stage 2)
B1 = 850000 (P-1 stage 1)
B1 = 800000, B2 = 850000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 750000, B2 = 800000 (P-1 stage 2)
B1 = 750000 (P-1 stage 1)
B1 = 700000, B2 = 750000 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
B1 = 650000, B2 = 700000 (P-1 stage 2)
B1 = 650000 (P-1 stage 1)
B1 = 600000, B2 = 650000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 550000, B2 = 600000 (P-1 stage 2)
B1 = 550000 (P-1 stage 1)
B1 = 500000, B2 = 550000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 450000, B2 = 500000 (P-1 stage 2)
B1 = 450000 (P-1 stage 1)
B1 = 400000, B2 = 450000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 350000, B2 = 400000 (P-1 stage 2)
B1 = 350000 (P-1 stage 1)
B1 = 300000, B2 = 350000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 250000, B2 = 300000 (P-1 stage 2)
B1 = 250000 (P-1 stage 1)
B1 = 200000, B2 = 250000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 150000, B2 = 200000 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 100000, B2 = 150000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 35000, B2 = 560000 (P-1 stage 2)
B1 = 50000, B2 = 100000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 35000 (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: 2022-07-27T00:19:42+00:00