is 2 1652741 - 1
has 497525 decimal digits
takes 0.078 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6EE64BF94A57FC89double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26836.064369.1176%250000006111445239902,273.810220.8322%2,309.874575.5511%6.4335%
Target2610.185965.5738%7000700000.00071.1515%0.186665.9702%0.3964%
Difference+7+35.8784+3.5439%+24993000+611144453990+2,273.8095+19.6807%+2,309.6879+9.5809%+6.0370%

Known prime factors (1 factor, 174.3 bits, 0.01054604% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
165274129453891029745804067011725741823707735606573599983
929
53174.2998910619095716087416906740300453521675691041004
22 × 33 × 7 × 11 × 19 × 5039 × 1091581 × 5522851 × 7521233 × 11978503 × 20605566361
2022-12-0111978503206055663618.545e+1077.383143.09

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-02-29T17:08:00AxonManual testing100000100000---0.007--0.761%
2012-02-29T17:12:00AxonManual testing200000200000---0.014--1.124%
2012-02-29T18:08:00AxonManual testing300000300000---0.020--1.379%
2012-02-29T18:12:00AxonManual testing400000400000---0.027--1.580%
2012-02-29T19:09:00AxonManual testing500000500000---0.034--1.746%
2012-02-29T19:12:00AxonManual testing600000600000---0.041--1.890%
2012-02-29T20:08:00AxonManual testing700000700000---0.048--2.016%
2012-02-29T20:11:00AxonManual testing800000800000---0.055--2.129%
2012-02-29T21:09:00AxonManual testing900000900000---0.061--2.232%
2012-02-29T21:13:00AxonManual testing10000001000000---0.068--2.326%
2012-03-01T06:08:00AxonManual testing10000008000000---0.094--4.293%
2012-03-01T07:09:00AxonManual testing100000020000000---0.139--5.188%
2017-12-24T12:25:08Jocelyn Larouchelow 4M20000002000000012---0.203--5.503%
2018-02-02T15:34:05Jocelyn Larouchelow 4M16527412000000012---0.181--5.425%
2018-02-08T12:52:27Jocelyn Larouchelow 4M16527414000000012---0.255--6.173%
2018-02-17T20:09:12Jocelyn Larouchelow 4M16527418000000012---0.404--6.931%
2018-03-30T19:42:34Jocelyn Larouchelow 4M165274116527410012---0.721--7.734%
2018-07-28T01:07:14mikrColor600000030000000012---1.503--9.356%
2018-11-16T20:27:30Jocelyn LaroucheManual testing165274133054820012---1.336--8.509%
2018-11-19T17:38:28Jocelyn LaroucheManual testing16527413322009416---1.342--8.514%
2022-12-01T15:10:12Naegi Makoto5950X2500000061114452399053174.2992,2740.1564,54820.832%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-07T00:00:00ANONYMOUSv4_computers21257--0.012--
2003-05-19T00:00:00ANONYMOUSv4_computers21258--0.023--
2016-02-23T16:28:44Mark RoseManual testing258260--0.070--
2010-04-28T16:30:00Architects Cubedm1_tt260261--0.093--
2016-02-23T16:28:44Mark RoseManual testing261262--0.186--
2010-08-13T02:23:00GrunwalderGIMPManual testing21263--0.966--
2016-02-23T16:28:44Mark RoseManual testing262263--0.594--
2015-05-08T01:31:00omylistManual testing263264--1.188--
2015-05-08T17:30:00monstManual testing264265--2.261--
2015-10-11T16:52:33ramgeisManual testing265266--4.521--
2017-10-20T14:50:27TJAOIManual testing266267--9.043--
2019-06-24T09:36:13TJAOIManual testing267268--18.09--


ECM factoring results:
Total ECM effort:67.374 GHz-days
Estimated T-Level:25.868
DigitsB1CompleteFacMiss
201100016.2690.000%
25500001.95314.185%
302500000.17484.056%
3510000000.01398.737%


ECM Summary

B1B2factorcurvesGHz-days
50000500000028016.59
2500002099794434450.78


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-25T00:00:00ANONYMOUSv4_computers6EE64BF94A57FC890.078
1997-12-04T00:00:00ANONYMOUSv4_computers6EE64BF94A57FC890.078
1997-12-21T00:00:00ANONYMOUSv4_computers6EE64BF94A57FC890.078
1998-02-01T00:00:00ANONYMOUSv4_computers6EE64BF94A57FC890.078
1998-12-06T00:00:00ANONYMOUSv4_computers6EE64BF94A57FC890.078
2015-07-19T18:02:00MadPooManual testing6EE64BF94A57FC890.078


PRP results:
dateuseridcompidcofactorsres64PRP
2022-12-01T15:17:50Naegi Makoto5950X
29453891029745804067011725741823707735606573599983
929
39D712336DADCF37no


P-1 factor-bounds graph:
B1 = 25000000, B2 = 611144523990 (P-1 stage 2)
B1 = 25000000 (P-1 stage 1)
B1 = 6000000, B2 = 300000000 (P-1 stage 2)
B1 = 1652741, B2 = 332200941 (P-1 stage 2)
B1 = 1652741, B2 = 330548200 (P-1 stage 2)
B1 = 1652741, B2 = 165274100 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 1652741, B2 = 80000000 (P-1 stage 2)
B1 = 1652741, B2 = 40000000 (P-1 stage 2)
B1 = 2000000, B2 = 20000000 (P-1 stage 2)
B1 = 1652741, B2 = 20000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1652741 (P-1 stage 1)
B1 = 1000000, B2 = 8000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 900000 (P-1 stage 1)
B1 = 800000 (P-1 stage 1)
B1 = 700000 (P-1 stage 1)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2023-01-20T08:33:17+00:00