is 2 13406369 - 1
has 4035720 decimal digits
takes 5.948 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE188A2DAD2792F9Ddouble-checked
PRPADA2D47BB315CDCBPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27271.334366.6667%25000046875000.31642.8136%71.650667.6045%0.9379%
PrimeNet2650.544263.0769%5500017000000.09303.8238%0.637264.4888%1.4119%
GPU722698.905265.2174%9000022000000.13192.7795%9.037166.1842%0.9668%
Difference+3+62.4290+1.4493%+160000+2487500+0.1845+0.0341%+62.6136+1.4204%-0.0289%

Known prime factors (1 factor, 122.4 bits, 0.00091307% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13406369706413608452563220418547739565918955137122.410263461944264164003101267665975
3 × 52 × 31 × 37 × 1301 × 92317 × 200159 × 250777 × 508009
2022-02-132507775080091.307e+100.17040.3283

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers1400001435000---0.135--1.904%
2019-08-24T18:16:38Dylan Delgadolaptop-i5520025000046875006---0.316--2.814%
2022-02-13T00:02:55axnManual testing1000000100000037122.4100.64311.901.2872.010%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-06-11T00:00:00ANONYMOUSv4_computers21265--0.544--
2014-06-13T11:06:00NesowaManual testing265266--0.557--
2015-07-28T00:36:00NesowaManual testing266267--1.115--
2017-12-22T13:49:17-Anonymous-Manual testing267268--2.230--
2018-01-14T22:54:11ramgeisManual testing268269--4.459--
2021-08-07T17:45:23SRBaseManual testing269270--8.918--
2021-09-03T14:58:55SRBaseManual testing270271--17.84--
2021-10-22T19:03:02-Anonymous-Manual testing271272--35.67--


ECM factoring results:
Total ECM effort:0.675 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.675


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-16T00:00:00ANONYMOUSv4_computersE188A2DAD2792F9D5.948
2004-12-13T00:00:00Team Prime Ribv4_computersE188A2DAD2792F9D5.948


PRP results:
dateuseridcompidcofactorsres64PRP
2022-07-27T22:04:09Poaooffice-CN2
7064136084525632204185477395659189551
ADA2D47BB315CDCBno


P-1 factor-bounds graph:
B1 = 1000000 (P-1 stage 1)
B1 = 250000, B2 = 4687500 (P-1 stage 2)
B1 = 250000 (P-1 stage 1)
B1 = 140000, B2 = 1435000 (P-1 stage 2)
B1 = 140000 (P-1 stage 1)
104
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106
104
105
106
107
TF factor-bounds graph:
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269
268
267
266
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250
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270
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2100
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2120
2130
Last modified: 2022-07-27T22:04:09+00:00