is 2 3007813 - 1
has 905442 decimal digits
takes 0.256 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LD16A8537927DD94Cdouble-checked
PRP3E333E01B042A1__
unverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27079.443368.5714%32766003186766217116.381111.8760%95.824472.3039%3.7325%
PrimeNet2600.051163.3333%120002200000.00292.5163%0.053964.2560%0.9227%
GPU722641.183465.6250%130002000000.00291.3877%1.186266.1020%0.4770%
Difference+6+78.2600+2.9464%+32753003+1867462171+16.3783+10.4883%+94.6382+6.2019%+6.2019%

Known prime factors (1 factor, 79.4 bits, 0.00264058% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30078138107467800638129795678492479.424134773468308005348
22 × 31 × 857 × 1268241317311
2020-12-12857126824131731146,5918,527.415,927

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.099%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.161%
2009-08-03T04:50:00harleeP4_260035000516250---0.008--1.033%
2010-09-16T09:47:00Rob_Deetwopc50000100000---0.007--0.608%
2010-09-17T11:55:00Rob_Deetwopc100000150000---0.013--0.803%
2010-09-18T10:01:00Rob_Deetwopc150000200000---0.019--0.951%
2010-09-19T10:30:00Rob_Deetwopc200000250000---0.025--1.074%
2010-09-20T11:10:00Rob_Deetwopc250000300000---0.031--1.180%
2010-09-21T11:21:00Rob_Deetwopc300000350000---0.037--1.274%
2010-09-22T12:41:00Rob_Deetwopc350000400000---0.044--1.359%
2010-09-23T11:09:00Rob_Deetwopc400000450000---0.050--1.437%
2010-09-24T11:50:00Rob_Deetwopc450000500000---0.056--1.508%
2010-09-25T13:28:00Rob_Deetwopc500000550000---0.062--1.575%
2010-09-26T12:28:00Rob_Deetwopc550000600000---0.068--1.637%
2010-09-27T11:10:00Rob_Deetwopc600000650000---0.074--1.695%
2010-09-28T11:46:00Rob_Deetwopc650000700000---0.081--1.750%
2010-09-29T11:36:00Rob_Deetwopc700000750000---0.087--1.803%
2010-09-30T11:18:00Rob_Deetwopc750000800000---0.093--1.852%
2010-10-01T11:15:00Rob_Deetwopc800000850000---0.099--1.900%
2010-10-02T11:01:00Rob_Deetwopc850000900000---0.105--1.945%
2010-10-03T11:38:00Rob_Deetwopc900000950000---0.111--1.988%
2010-10-04T11:11:00Rob_Deetwopc9500001000000---0.118--2.030%
2010-10-05T11:33:00Rob_Deetwopc10000001100000---0.124--2.109%
2016-07-31T18:27:02trebor16500004620000012---0.503--5.666%
2016-08-17T15:57:36trebor165000012000000012---0.999--6.626%
2016-10-14T15:02:53trebor165000030000000012---2.210--7.565%
2019-01-29T17:10:19oodairacom532766003186766217112---16.38--11.876%
2021-01-14T13:16:36Jocelyn LaroucheManual testing300781300781---0.037--1.183%
2021-01-14T22:55:42Jocelyn LaroucheManual testing30078130078136---0.055--2.630%
2022-01-23T08:33:38Jocelyn LaroucheManual testing1101561119912100---0.935--6.334%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-09T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-01-24T18:06:00Jayson Kingatlas260261--0.051--
2010-08-31T18:32:00Sid & AndyBuzz261262--0.102--
2013-01-07T13:52:00dbaughManual testing262263--0.326--
2014-01-02T16:25:00krackerManual testing263264--0.653--
2014-01-03T00:24:00lycornManual testing264265--1.242--
2015-05-30T14:36:00ThaManual testing265266--2.484--
2016-08-20T12:55:42treborManual testing266267--4.969--
2016-08-20T12:55:42treborManual testing267268--9.94--
2017-08-16T16:06:44YxinityManual testing268269--19.88--
2017-08-16T16:06:44YxinityManual testing269270--39.75--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.183 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:4.183 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.38525.042%
25500000.12887.975%
302500000.00899.195%


ECM Summary

B1B2factorcurvesGHz-days
500005000000323.718
50000500000040.465


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06T00:00:00ANONYMOUSv4_computersD16A8537927DD94C0.256
2012-09-03T12:09:00kdgehmani5-2500kD16A8537927DD94C0.256


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-12T17:51:30Maciej KmieciakAsrock
810746780063812979567849
3E333E01B042A16Ano
2020-12-13T03:02:48Kirill Frolovshodan1
810746780063812979567849
3E333E01B042A16Ano


P-1 factor-bounds graph:
B1 = 32766003, B2 = 1867662171 (P-1 stage 2)
B1 = 32766003 (P-1 stage 1)
B1 = 1650000, B2 = 300000000 (P-1 stage 2)
B1 = 1650000, B2 = 120000000 (P-1 stage 2)
B1 = 1101561, B2 = 119912100 (P-1 stage 2)
B1 = 1650000, B2 = 46200000 (P-1 stage 2)
B1 = 1650000 (P-1 stage 1)
B1 = 1101561 (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 = 300781, B2 = 3007813 (P-1 stage 2)
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 = 300781 (P-1 stage 1)
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 = 516250 (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: 2022-01-23T08:33:38+00:00