is 2 3459641 - 1
has 1041456 decimal digits
takes 0.363 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3F42D7046D5C3355double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.228667.6471%3459641350159733029.551612.7526%46.780271.7729%4.1258%
PrimeNet2600.044463.3333%150002800000.00452.9028%0.048964.3977%1.0644%
GPU722641.028865.6250%190003400000.00561.8557%1.034466.2629%0.6379%
Difference+4+16.1998+2.0221%+3440641+3501257330+29.5460+10.8969%+45.7459+5.5100%+5.5100%

Known prime factors (1 factor, 63.4 bits, 0.00183347% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3459641124391628885778922412063.4321797753421320
23 × 3 × 5 × 6449 × 2323039
2009-07-12644923230390.55710.02020.0360

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:08:00Carsten Kossendeyleela20000235000---0.005--0.938%
2021-03-18T00:24:12Jocelyn LaroucheManual testing34596434596416-
skipped known factor: 12439162888577892241
--0.079--3.496%
2021-06-13T12:36:17Jocelyn LaroucheManual testing34596413459641-
skipped known factor: 12439162888577892241
--0.527--3.933%
2021-08-04T02:33:14Jocelyn LaroucheManual testing345964169192826-
skipped known factor: 12439162888577892241
--0.556--4.809%
2021-12-21T11:44:41Jocelyn LaroucheManual testing3459641112173600-
skipped known factor: 12439162888577892241
--1.429--8.365%
2022-08-15T00:47:01Jocelyn LaroucheManual testing34596413501597330-
skipped known factor: 12439162888577892241
--29.55--12.753%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-21T17:06:00S485122USB-Z260261--0.044--
2022-05-12T17:15:25LordJuliusManual testing21262--0.178--
2022-05-12T17:15:25LordJuliusManual testing262263--0.284--
2022-05-12T17:15:25LordJuliusManual testing26326463.432200.0960.7380.195
2022-05-12T17:15:25LordJuliusManual testing264265--1.080--
2021-02-28T12:18:14Jocelyn LaroucheManual testing265266--2.160--
2021-03-18T00:24:15Jocelyn LaroucheManual testing266267--4.320--
2021-06-13T12:36:28Jocelyn LaroucheManual testing267268--8.640--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CurvesCompleteFacMiss

New Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00ANONYMOUSv4_computers3F42D7046D5C33550.363


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-07T00:41:02Oliver KruseGTX-0
12439162888577892241
525DA4B9C404B5__no
2017-12-16T16:09:24kkmrkkblmbrbkc4.xlarge
12439162888577892241
525DA4B9C404B5__no


P-1 factor-bounds graph:
B1 = 3459641, B2 = 3501597330 (P-1 stage 2)
B1 = 3459641, B2 = 112173600 (P-1 stage 2)
B1 = 3459641, B2 = 6919282 (P-1 stage 2)
B1 = 3459641 (P-1 stage 1)
B1 = 345964, B2 = 3459641 (P-1 stage 2)
B1 = 345964 (P-1 stage 1)
B1 = 20000, B2 = 235000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2022-08-15T00:47:01+00:00