is 2 749909 - 1
has 225746 decimal digits
takes 0.015 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBB83687574FBF024double-checked
PRP3DF6FB89C3631C86PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26879.482870.5882%760000012048160624501,901.173619.1633%1,980.656476.2245%5.6363%
PrimeNet2400.000050.0000%70002800000.000621.9565%0.000660.9783%10.9783%
GPU722440.000054.5455%120004500000.001016.6301%0.001062.1046%7.5591%
Difference+24+79.4828+16.0428%+7588000+1204815612450+1,901.1725+2.5333%+1,980.6554+14.1199%-1.9229%

Known prime factors (1 factor, 128.1 bits, 0.01708426% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
74990936887616758013392736765967215363385888939128.116245947286657537066075790310660116
22 × 32 × 11 × 17 × 101287 × 187211 × 2351891 × 819210796049
2022-05-1423518918192107960492.152e+111,292.62,414.1

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.009--2.358%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.081%
2002-07-20T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.648%
2002-11-24T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.352%
2003-06-30T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.183%
2011-06-19T02:17:00Jocelyn LaroucheManual testing400000400000---0.012--1.395%
2011-08-15T22:09:00Jocelyn LaroucheManual testing482496482496---0.014--1.522%
2011-10-29T18:56:00Jocelyn LaroucheManual testing964992964992---0.028--2.052%
2012-07-14T15:57:00Jocelyn LaroucheManual testing14998181499818---0.043--2.437%
2013-10-28T10:39:00David Campeaui5-2500k152500051850000---0.124--5.881%
2015-11-26T20:31:48Sid & AndySpeck749909022497270012---0.560--8.469%
2022-05-14T19:01:30lycornsupernova7600000120481606245039128.1161,9010.0303,80219.163%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-09-08T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-03-18T00:00:00ANONYMOUSv4_computers21256--0.013--
2001-12-08T00:00:00ANONYMOUSv4_computers21257--0.026--
2003-09-29T00:00:00ANONYMOUSv4_computers21258--0.051--
2008-10-11T15:40:00Sturle Sundevancraft.ifi258259--0.051--
2008-10-11T16:12:00Sturle Sundevancraft.ifi259260--0.102--
2010-06-01T07:20:00Architects Cubeda3_bu2260261--0.205--
2015-03-05T05:41:00NRManual testing261262--0.410--
2015-10-21T21:50:17Gordon SpenceManual testing262263--1.309--
2015-10-21T21:50:17Gordon SpenceManual testing263264--2.618--
2016-04-08T07:50:12lycornManual testing264265--4.982--
2017-10-22T03:50:33Smok_bmvManual testing265266--9.96--
2020-05-15T00:09:04Gordon SpenceManual testing266267--19.93--
2022-03-26T17:08:06Gordon SpenceManual testing267268--39.86--


ECM factoring results:
Total ECM effort:11.349 GHz-days
Estimated T-Level:25.656
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002806.356
25000025000000444.994


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-05-19T00:00:00ANONYMOUSv4_computersBB83687574FBF0240.015
2016-06-01T06:41:05MadPooManual testingBB83687574FBF0240.015


PRP results:
dateuseridcompidcofactorsres64PRP
2022-05-14T20:19:58aperson12012_VP113
368876167580133927367659672153633858889
3DF6FB89C3631C86no


P-1 factor-bounds graph:
B1 = 7600000, B2 = 1204816062450 (P-1 stage 2)
B1 = 7499090, B2 = 224972700 (P-1 stage 2)
B1 = 7600000 (P-1 stage 1)
B1 = 7499090 (P-1 stage 1)
B1 = 1525000, B2 = 51850000 (P-1 stage 2)
B1 = 1525000 (P-1 stage 1)
B1 = 1499818 (P-1 stage 1)
B1 = 964992 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 482496 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65537 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-14T20:19:58+00:00