is 2 3440771 - 1
has 1035776 decimal digits
takes 0.361 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.697768.1159%10500001116423001.07756.9018%35.775270.3165%2.2006%
PrimeNet2600.044663.3333%150002800000.00452.9000%0.049164.3967%1.0633%
GPU722641.034565.6250%190003400000.00561.8538%1.040066.2623%0.6373%
Difference+5+33.6632+2.4909%+1031000+111302300+1.0720+5.0479%+34.7352+4.0543%+4.0543%

Known prime factors (3 factors, 135.4 bits, 0.00393616% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3440771192683177927.52228
22 × 7
-475.228e-126.341e-71.240e-6
344077110353692831531339.913150456
23 × 3 × 6269
2008-09-30862693.334e-85.317e-59.708e-5
34407712950038007799235022572167.99942868851309768
23 × 3 × 11 × 12253 × 13252429
2021-10-11122531325242917.0750.11170.2054

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
34407711994982428461326170812167.435
3440771568422695613507382318454304892995.521
344077130543787374091981884600726757632133107.913
34407715885273988852530559751315408169462025181741135.434
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-03-16T19:39:03Jocelyn LaroucheManual testing34407737848486-
skipped known factor: 192683177
skipped known factor: 1035369283153
--0.081--3.210%
2021-03-17T00:29:40Jocelyn LaroucheManual testing34407737848486-
skipped known factor: 192683177
skipped known factor: 1035369283153
--0.081--3.210%
2021-03-17T00:29:41Jocelyn LaroucheManual testing34407768815426-
skipped known factor: 192683177
skipped known factor: 1035369283153
--0.107--3.670%
2022-01-07T11:58:36Jocelyn LaroucheManual testing1050000111642300-
skipped known factor: 192683177
skipped known factor: 1035369283153
skipped known factor: 295003800779923502257
--1.078--6.902%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:47:00markrManual testing??39.913131.20524e-80.7792.59686e-8
2022-05-11T16:04:08LordJuliusManual testing2126239.913133.33376e-80.7797.18306e-8
2022-05-11T16:04:08LordJuliusManual testing2126227.52295.22808e-120.7791.12646e-11
2022-05-11T16:04:08LordJuliusManual testing262263--0.285--
2022-05-11T16:04:08LordJuliusManual testing263264--0.571--
2022-05-11T16:04:08LordJuliusManual testing264265--1.086--
2021-03-16T19:39:05Jocelyn LaroucheManual testing265266--2.172--
2022-05-11T16:04:08LordJuliusManual testing265266--2.172--
2022-05-11T16:04:08LordJuliusManual testing266267--4.344--
2021-10-11T22:25:15Jocelyn LaroucheManual testing267268
skipped known factors(?)
--8.687--
2021-10-11T22:25:15Jocelyn LaroucheManual testing26726867.999218.4390.73417.14
2021-11-19T03:33:56Jocelyn LaroucheManual testing268269--17.37--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.441 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.441 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.09790.776%
25500000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.441


Lucas-Lehmer results:
No L-L results for M3440771


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T16:22:07Oliver KruseGTX-2
192683177
1035369283153
1159328C945DBC__no
2017-12-16T11:30:27kkmrkkblmbrbkc4.xlarge
192683177
1035369283153
1159328C945DBC__no
2021-10-18T14:35:53Massimo Cappelli (ik5pwa)maxlinux_8
192683177
1035369283153
295003800779923502257
1159328C945DBC1Bno


P-1 factor-bounds graph:
B1 = 1050000, B2 = 111642300 (P-1 stage 2)
B1 = 1050000 (P-1 stage 1)
B1 = 344077, B2 = 6881542 (P-1 stage 2)
B1 = 344077, B2 = 3784848 (P-1 stage 2)
B1 = 344077 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-11T16:04:08+00:00