is 2 3481319 - 1
has 1047982 decimal digits
takes 0.366 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBB7615D75B2B9C9Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.293668.1159%10000001146568501.09536.8995%35.388970.3158%2.1999%
PrimeNet2600.044163.3333%150003000000.00462.9577%0.048864.4178%1.0845%
GPU722641.022465.6250%190003600000.00571.8869%1.028166.2736%0.6486%
Difference+5+33.2711+2.4909%+981000+114296850+1.0896+5.0126%+34.3607+4.0422%+4.0422%

Known prime factors (1 factor, 69.6 bits, 0.00199811% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34813198706357291375116930712169.561125043945863265
35 × 5 × 11 × 13 × 317 × 2270341
2012-02-26317227034164.9580.01890.0352

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-07T04:46:00Carsten Kossendeyleela20000240000---0.005--0.812%
2011-11-13T19:44:00harleeP4_260060000990000---0.017--1.689%
2021-02-18T11:47:32Jocelyn LaroucheManual testing34813138294506-
skipped known factor: 870635729137511693071
--0.082--3.229%
2022-01-22T13:04:49Jocelyn LaroucheManual testing1000000114656850-
skipped known factor: 870635729137511693071
--1.095--6.900%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-19T18:08:00S485122USB-A260261--0.044--
2011-07-20T03:34:00markroldgamer261262--0.088--
2022-05-27T23:20:16LordJuliusManual testing21262--0.176--
2022-05-27T23:20:16LordJuliusManual testing262263--0.282--
2022-05-27T23:20:16LordJuliusManual testing263264--0.564--
2022-05-27T23:20:16LordJuliusManual testing264265--1.073--
2021-02-24T21:45:56Jocelyn LaroucheManual testing265266--2.147--
2022-05-30T07:59:45LordJuliusManual testing265266--2.147--
2022-05-30T07:59:45LordJuliusManual testing266267--4.293--
2021-06-13T12:36:30Jocelyn LaroucheManual testing267268--8.586--
2021-12-12T02:00:57Jocelyn LaroucheManual testing268269--17.17--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.442 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.442 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.442


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00dswansonv4_computersBB7615D75B2B9C9F0.366


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-07T09:30:12Oliver KruseGTX-3
870635729137511693071
0E011CDCA18F55__no
2017-12-16T21:30:24kkmrkkblmbrbkc4.xlarge
870635729137511693071
0E011CDCA18F55__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 348131, B2 = 3829450 (P-1 stage 2)
B1 = 348131 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-30T07:59:45+00:00