is 2 3892741 - 1
has 1171832 decimal digits
takes 0.486 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
Actual26815.311867.6471%10000001303648501.45557.7563%16.767370.1565%2.5094%
PrimeNet2600.039563.3333%170003600000.00653.2466%0.045964.5238%1.1904%
GPU722640.914465.6250%240005000000.00902.2326%0.923466.3925%0.7675%
Difference+4+14.3975+2.0221%+976000+129864850+1.4465+5.5237%+15.8439+3.7640%+1.7419%

Known prime factors (2 factors, 102.9 bits, 0.00264346% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
389274123356447824.4773
3
-135.745e-132.006e-73.681e-7
38927414059695623238842785429432478.42652144435286586531
32 × 7 × 47 × 71 × 7853 × 31584617
2021-07-1978533158461730,8080.31250.5812

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3892741948200656603099998592148540352131102.903
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-11-05T21:00:41Jocelyn LaroucheManual testing38927438927416-
skipped known factor: 23356447
--0.105--3.700%
2020-11-07T12:28:38Jocelyn LaroucheManual testing389274389274-
skipped known factor: 23356447
--0.070--1.782%
2022-03-02T01:31:27Jocelyn LaroucheManual testing9000090000-
skipped known factor: 23356447
--0.016--0.839%
2022-03-22T16:03:20Jocelyn LaroucheManual testing100000100000-
skipped known factor: 23356447
--0.018--0.893%
2022-05-19T21:38:43Jocelyn LaroucheManual testing100000130364850-
skipped known factor: 23356447
skipped known factor: 405969562323884278542943
--1.302--5.444%
2022-09-29T19:20:17Jocelyn LaroucheManual testing1000000130364850-
skipped known factor: 23356447
skipped known factor: 405969562323884278542943
--1.455--7.756%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-19T23:55:15ATHec2-P_1100000010000000027P-12478.4261.037


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2022-03-26T12:09:45Jocelyn LaroucheManual testing267268--7.679--


ECM factoring results:
Total ECM effort:0.537 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.537


Lucas-Lehmer results:
No L-L results for M3892741


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T16:57:51kkmrkkblmbrbkManual testing
23356447
91D22A4814643A__no
2017-12-27T14:44:57Oliver KruseGTX-1
23356447
91D22A4814643A__no
2021-07-20T03:12:21ATHec2-PRPCFDC
23356447
405969562323884278542943
6AA3FE3A2BBAF48Fno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 130364850 (P-1 stage 2)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 389274, B2 = 3892741 (P-1 stage 2)
B1 = 389274 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
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TF factor-bounds graph:
268
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2100
Last modified: 2022-09-29T19:20:17+00:00