is 2 3451873 - 1
has 1039118 decimal digits
takes 0.363 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
Actual26817.267467.6471%3451873349967310029.534512.7473%46.801971.7712%4.1241%
PrimeNet2600.044563.3333%150002800000.00452.9017%0.049064.3973%1.0639%
GPU722641.031165.6250%190003400000.00561.8549%1.036766.2626%0.6376%
Difference+4+16.2363+2.0221%+3432873+3499333100+29.5290+10.8923%+45.7652+5.5085%+3.4865%

Known prime factors (2 factors, 170.7 bits, 0.00494401% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3451873344635000331135.0044992
27 × 3 × 13
-1281281.433e-91.949e-53.967e-5
34518736866286089955679756904828475893871668359941135.6579945739733118338590244815605750663
3 × 13 × 19 × 37 × 131 × 1069 × 5821 × 8269 × 53171 × 592469 × 1708351
2022-01-2459246917083515.411e+100.09950.1836

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
345187323663625088777501027062698815682778594701917870587
67
52170.661
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-03-17T19:52:21Jocelyn LaroucheManual testing34518734518736-
skipped known factor: 34463500033
--0.078--3.493%
2022-01-24T18:37:07Jocelyn LaroucheManual testing100000011465685041135.6571.0950.7252.1917.518%
2022-03-26T02:34:06Jocelyn LaroucheManual testing10000001032842580-
skipped known factor: 34463500033
skipped known factor: 68662860899556797569048284758938716683599
--8.714--9.950%
2022-07-16T13:07:32Jocelyn LaroucheManual testing34518733499673100-
skipped known factor: 34463500033
skipped known factor: 68662860899556797569048284758938716683599
--29.53--12.747%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-02-27T11:32:40Jocelyn LaroucheManual testing265266--2.165--
2021-02-28T12:18:12Jocelyn LaroucheManual testing266267--4.330--
2021-03-17T19:52:26Jocelyn LaroucheManual testing267268--8.659--


ECM factoring results:
Total ECM effort:0.441 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.441


Lucas-Lehmer results:
No L-L results for M3451873


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T21:14:38Oliver KruseGTX-0
34463500033
D9D5EFD96DE3B4__no
2017-12-16T14:09:14kkmrkkblmbrbkc4.xlarge
34463500033
D9D5EFD96DE3B4__no
2022-01-30T14:52:09Oliver KruseIOS-6
34463500033
68662860899556797569048284758938716683599
D9D5EFD96DE3B485no


P-1 factor-bounds graph:
B1 = 3451873, B2 = 3499673100 (P-1 stage 2)
B1 = 1000000, B2 = 1032842580 (P-1 stage 2)
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 3451873 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 345187, B2 = 3451873 (P-1 stage 2)
B1 = 345187 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-07-16T13:07:32+00:00