is 2 1681991 - 1
has 506330 decimal digits
takes 0.079 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L69BE0F0158E430E4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26835.437169.1176%250000005681772696602,114.060620.7571%2,149.497775.5279%6.4103%
Target2610.182665.5738%7000900000.00081.2557%0.183466.0061%0.4323%
Difference+7+35.2545+3.5439%+24993000+568177179660+2,114.0599+19.5014%+2,149.3143+9.5219%+5.9780%

Known prime factors (1 factor, 143.5 bits, 0.00853161% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
16819911577940737708666834881639143277063050409291144143.5014690693165744248437957275464842151505
5 × 11 × 19 × 61 × 23753 × 132607 × 5515723 × 18811409 × 225155317
2022-12-20188114092251553179.586e+102.05092.6126

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-01-24T11:29:00Jocelyn LaroucheManual testing5000050000---0.003--0.487%
2012-02-29T17:10:00AxonManual testing100000100000---0.007--0.764%
2012-02-29T17:15:00AxonManual testing200000200000---0.014--1.128%
2012-02-29T18:10:00AxonManual testing300000300000---0.020--1.383%
2012-02-29T18:13:00AxonManual testing400000400000---0.027--1.584%
2012-02-29T19:11:00AxonManual testing500000500000---0.034--1.751%
2012-02-29T19:13:00AxonManual testing600000600000---0.041--1.895%
2012-02-29T20:10:00AxonManual testing700000700000---0.048--2.021%
2012-02-29T20:13:00AxonManual testing800000800000---0.055--2.135%
2012-02-29T21:11:00AxonManual testing900000900000---0.061--2.238%
2012-02-29T21:14:00AxonManual testing10000001000000---0.068--2.332%
2012-03-01T06:09:00AxonManual testing10000008000000---0.094--4.302%
2012-03-01T07:10:00AxonManual testing100000020000000---0.139--5.199%
2018-01-21T11:09:17Jocelyn Larouchelow 4M16819912000000012---0.183--5.443%
2018-02-06T13:08:09Jocelyn Larouchelow 4M16819914000000012---0.257--6.195%
2018-02-20T12:50:32Jocelyn Larouchelow 4M16819918000000012---0.406--6.956%
2018-06-14T11:36:25Jocelyn Larouchelow 4M168199116819910012---0.734--7.781%
2018-10-16T11:47:55Jocelyn Larouchelow 4M168199118501901012---0.796--7.888%
2022-12-20T21:17:28Naegi Makoto5950X2500000056817726966044143.5012,1140.1584,22820.757%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-14T00:00:00ANONYMOUSv4_computers21257--0.011--
2003-03-27T00:00:00ANONYMOUSv4_computers21258--0.023--
2016-02-23T16:28:46Mark RoseManual testing258260--0.068--
2010-04-26T15:50:00Architects Cubedm1_76l260261--0.091--
2016-02-23T16:28:46Mark RoseManual testing261262--0.183--
2010-09-26T01:51:00GrunwalderGIMPManual testing21263--0.949--
2016-02-23T16:28:46Mark RoseManual testing262263--0.584--
2015-05-13T07:35:00omylistManual testing263264--1.167--
2015-05-14T02:07:00monstManual testing264265--2.221--
2015-10-12T09:32:53ramgeisManual testing265266--4.443--
2017-09-22T15:53:14TJAOIManual testing266267--8.886--
2019-08-16T11:17:52TJAOIManual testing267268--17.77--


ECM factoring results:
Total ECM effort:16.625 GHz-days
Estimated T-Level:24.982
DigitsB1CompleteFacMiss
201100010.7690.002%
25500000.99636.919%
302500000.06393.908%
3510000000.00399.707%


ECM Summary

B1B2factorcurvesGHz-days
50000500000028016.62


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06T00:00:00ANONYMOUSv4_computers69BE0F0158E430E40.079
2015-07-04T19:27:00MadPooManual testing69BE0F0158E430E40.079


PRP results:
dateuseridcompidcofactorsres64PRP
2022-12-20T21:20:53Naegi Makoto5950X
15779407377086668348816391432770630504092911
E087F70307949FA0no


P-1 factor-bounds graph:
B1 = 25000000, B2 = 568177269660 (P-1 stage 2)
B1 = 25000000 (P-1 stage 1)
B1 = 1681991, B2 = 185019010 (P-1 stage 2)
B1 = 1681991, B2 = 168199100 (P-1 stage 2)
B1 = 1681991, B2 = 80000000 (P-1 stage 2)
B1 = 1681991, B2 = 40000000 (P-1 stage 2)
B1 = 1681991, B2 = 20000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1681991 (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)
B1 = 50000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-20T21:20:53+00:00