is 2 306407 - 1
has 92238 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LADD03DDA2700BC79double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual268194.528472.0588%10000000003455879213787019,424.110828.0802%19,618.639279.9048%7.8459%
PrimeNet2400.000052.5000%3200900000.000115.6118%0.000159.9156%7.4156%
GPU722440.000056.8182%55001500000.000111.4269%0.000161.7525%4.9343%
Difference+24+194.5284+15.2406%+999994500+34558791987870+19,424.1106+16.6533%+19,618.6391+18.1522%+2.9116%

Known prime factors (1 factor, 146.7 bits, 0.04789242% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30640714957586693501183934379613104269529461755915145146.746244080368488663508574863059660346034225
32 × 52 × 7 × 11 × 17 × 307 × 265819 × 27416693 × 50193821 × 7379398501
2022-09-225019382173793985015.761e+114.63497.7428

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-06-30T00:00:00ANONYMOUSv4_computers110001100000---0.001--0.674%
2001-10-06T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.208%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.402%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.035%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--2.795%
2006-01-15T00:00:00Jocelyn Larouchev4_computers306407306407---0.003--1.056%
2008-11-15T23:24:00GrunwalderGIMPGWPrime022000000200000000---0.132--6.814%
2012-08-18T12:24:00alpertronManual testing10000000200000000---0.210--7.786%
2012-10-18T18:19:00alpertronManual testing1000000002000000000---2.098--11.949%
2022-09-22T23:05:50Oliver Kruse5950X10000000003455879213787045146.74619,4240.00438,84828.080%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:12:09LordJuliusManual testing254255--0.008--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.031--
2002-02-24T00:00:00ANONYMOUSv4_computers21257--0.063--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.125--
2009-01-01T02:49:00Sturle Sundeginara.ifi258259--0.125--
2009-01-27T22:01:00Sturle Sundetristan.ifi259260--0.251--
2012-04-24T11:00:00David CampeauManual testing260261--0.501--
2015-07-19T18:05:00NRManual testing261262--1.003--
2015-12-26T00:10:34Gordon SpenceManual testing262263--3.204--
2015-12-26T00:10:34Gordon SpenceManual testing263264--6.408--
2018-01-18T21:34:34Gordon SpenceManual testing264265--12.19--
2019-11-22T08:43:11Gordon SpenceManual testing265266--24.39--
2021-01-14T16:38:47YxinityManual testing266267--48.78--
2022-06-09T13:44:11Gordon SpenceManual testing267268--97.55--


ECM factoring results:
Total ECM effort:24.662 GHz-days
Estimated T-Level:29.903
DigitsB1CompleteFacMiss
201100064.4440.000%
25500009.3100.009%
302500000.98137.507%
3510000000.08192.250%
4030000000.00599.462%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.145
2500002500000059022.52


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-08T00:00:00ANONYMOUSv4_computersADD03DDA2700BC790.002


PRP results:
dateuseridcompidcofactorsres64PRP
2022-09-23T09:24:54Oliver KruseServer-Phi
149575866935011839343796131042695294617559151
333D6FEF3CF7412Ano


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 34558792137870 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 2000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 306407 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 11000, B2 = 1100000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-09-23T09:24:54+00:00