is 2 281423 - 1
has 84717 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-L9774DA00C135B26Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267105.584571.6418%14700000030111213132001,626.880823.8583%1,732.465478.4076%6.7658%
PrimeNet2400.000052.5000%3000800000.000115.0224%0.000159.6356%7.1356%
GPU722440.000056.8182%50001300000.000110.8473%0.000161.5022%4.6841%
Difference+23+105.5845+14.8236%+146995000+3011121183200+1,626.8807+13.0110%+1,732.4652+16.9053%+2.0817%

Known prime factors (1 factor, 139.6 bits, 0.04958968% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
281423102511522013214521615896513323595559183107343139.5571821306751992810140178601488215170032
24 × 3 × 7 × 317 × 449 × 1409 × 122921 × 117114031 × 1877553019721
2022-04-1611711403118775530197216.345e+111,014.71,893.1

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.364%
2001-04-29T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.286%
2001-06-30T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.761%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.586%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.095%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.029%
2006-01-15T00:00:00Jocelyn Larouchev4_computers281423281423---0.003--1.134%
2011-02-16T23:34:00Jocelyn LaroucheManual testing20000002000000---0.020--2.642%
2012-02-26T15:18:00Jocelyn LaroucheManual testing21493162149316---0.021--2.711%
2012-05-15T07:17:00Jocelyn LaroucheManual testing51583595158359---0.051--3.630%
2013-11-01T18:05:00David Campeaui5-2500k5325000202350000---0.159--8.025%
2016-05-13T16:34:52mikrS05360000000300000000012---2.182--13.061%
2016-05-13T23:04:32mognutsManual testing314778675---7.19541e-5--0.163%
2022-04-16T10:33:37Sid & AndySpeck147000000301112131320043139.5571,6270.0043,25423.858%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T06:11:33LordJuliusManual testing254255--0.009--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.034--
2002-03-16T00:00:00ANONYMOUSv4_computers21257--0.068--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.136--
2009-01-02T12:36:00Sturle Sundejodel.ifi258259--0.136--
2009-01-24T12:29:00Sturle Sundegoldiek.ifi259260--0.273--
2013-06-24T20:14:00lycornasteroid260261--0.546--
2015-08-13T13:31:00NRManual testing261262--1.092--
2016-01-04T23:55:22Gordon SpenceManual testing262263--3.488--
2016-01-04T23:55:22Gordon SpenceManual testing263264--6.976--
2018-03-29T10:45:44Gordon SpenceManual testing264265--13.28--
2019-12-02T23:39:24Gordon SpenceManual testing265266--26.55--


ECM factoring results:
Total ECM effort:23.431 GHz-days
Estimated T-Level:29.863
DigitsB1CompleteFacMiss
201100063.9510.000%
25500009.2360.010%
302500000.97337.808%
3510000000.08092.311%
4030000000.00599.466%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002802.047
2500002500000058521.38


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-03T00:00:00ANONYMOUSv4_computers9774DA00C135B26F0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2022-04-16T12:27:44SRJ2877LTOS
1025115220132145216158965133235955591831073
ABDD2971E37A5DA2no
2022-04-16T18:20:21Kirill Frolovshodan1
1025115220132145216158965133235955591831073
ABDD2971E37A5DA2no


P-1 factor-bounds graph:
B1 = 147000000, B2 = 3011121313200 (P-1 stage 2)
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 147000000 (P-1 stage 1)
B1 = 60000000 (P-1 stage 1)
B1 = 5325000, B2 = 202350000 (P-1 stage 2)
B1 = 5325000 (P-1 stage 1)
B1 = 5158359 (P-1 stage 1)
B1 = 2149316 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 281423 (P-1 stage 1)
B1 = 262144 (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 = 100000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 3147, B2 = 78675 (P-1 stage 2)
B1 = 3147 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-16T18:20:21+00:00