is 2 306689 - 1
has 92323 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9084F5D9B7260688double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual268194.349672.0588%10000000003301950953301018,559.376028.0166%18,753.725679.8870%7.8282%
PrimeNet2400.000052.5000%3200900000.000115.6137%0.000159.9165%7.4165%
GPU722440.000056.8182%55001500000.000111.4284%0.000161.7532%4.9350%
Difference+24+194.3496+15.2406%+999994500+33019509383010+18,559.3759+16.5882%+18,753.7255+18.1338%+2.8932%

Known prime factors (1 factor, 125.1 bits, 0.04078344% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3066894490859428540487782199149401190119336138125.07873215202184305400294747274946120
23 × 5 × 31 × 163 × 587 × 2237 × 967355699 × 285168595421
2022-09-239673556992851685954214.748e+11169.63299.21

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--1.209%
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_computers306689306689---0.003--1.057%
2008-11-16T06:22:00GrunwalderGIMPGWPrime022000000200000000---0.132--6.815%
2012-08-20T16:01:00alpertronManual testing10000000200000000---0.210--7.786%
2012-10-16T17:20:00alpertronManual testing1000000002000000000---2.098--11.950%
2022-09-23T12:19:56Oliver Kruse5950X10000000003301950953301038125.07818,5590.00437,11928.017%


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--
2009-01-01T11:04:00Sturle Sundeginara.ifi258259--0.125--
2009-01-28T06:55:00Sturle Sundetristan.ifi259260--0.250--
2012-04-24T11:00:00David CampeauManual testing260261--0.501--
2015-07-19T18:05:00NRManual testing261262--1.002--
2015-12-20T14:54:37Gordon SpenceManual testing262263--3.201--
2015-12-20T14:54:37Gordon SpenceManual testing263264--6.402--
2018-01-19T16:13:01BloodERazorManual testing264265--12.18--
2019-11-22T08:43:12Gordon SpenceManual testing265266--24.37--
2021-01-18T10:03:53YxinityManual testing266267--48.73--
2022-06-09T13:44:12Gordon SpenceManual testing267268--97.46--


ECM factoring results:
Total ECM effort:24.533 GHz-days
Estimated T-Level:29.876
DigitsB1CompleteFacMiss
201100064.1960.000%
25500009.2640.009%
302500000.97537.715%
3510000000.08092.295%
4030000000.00599.465%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002842.168
2500002500000058622.36


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-08T00:00:00ANONYMOUSv4_computers9084F5D9B72606880.002


PRP results:
dateuseridcompidcofactorsres64PRP
2022-09-23T12:21:58Oliver KruseIOS-5
44908594285404877821991494011901193361
849B5B6615DCDB__no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 33019509533010 (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 = 306689 (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: 2022-09-23T12:21:58+00:00