is 2 1819339 - 1
has 547676 decimal digits
takes 0.099 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
Actual26716.332368.6567%500000150000000.10155.0650%16.433770.2443%1.5875%
PrimeNet2570.010663.1579%80001500000.00122.8759%0.011864.2175%1.0596%
GPU722610.168865.5738%90001300000.00121.5578%0.170166.1100%0.5363%
Difference+6+16.1634+3.0829%+491000+14870000+0.1002+3.5072%+16.2637+4.1342%+4.1342%

Known prime factors (2 factors, 131.2 bits, 0.00721015% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1819339533797996738653611755.56714670108120
23 × 3 × 5 × 47 × 2601083
-4726010830.00280.01120.0208
1819339576582721781109665616972375.61015845939700658032
24 × 3 × 7 × 1301 × 36249450287
2019-10-071301362494502876,347.1155.36290.16

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1819339307778701840876799069810973905987767761740131.177
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:37:50alpertronManual testing5000001500000012-
skipped known factor: 53379799673865361
--0.101--5.065%


Trial Factoring results:
No TF results for M1819339


ECM factoring results:

Old Calculation Method

Total ECM effort:67.608 GHz-days
DigitsB1CurvesCompleteFacMiss
2011000951 / 1009.5100.007%
2550000951 / 2803.3963.329%

New Calculation Method

Total ECM effort:67.608 GHz-days
DigitsB1CompleteFacMiss
201100031.1760.000%
25500002.8205.963%
302500000.17484.042%
3510000000.00899.206%


ECM Summary

B1B2factorcurvesGHz-days
50000500000072650.11
50000500000010.069
50000660000022417.43


Lucas-Lehmer results:
No L-L results for M1819339


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T22:57:45Oliver KruseGTX-3
53379799673865361
1104DA59DEEFF3__no
2017-11-06T02:35:17kkmrkkblmbrbkold
53379799673865361
1104DA59DEEFF3__no
2019-10-08T16:57:27Daniil Tsarkovtsar1
53379799673865361
57658272178110966561697
A972FB3C99496A0Bno
2019-10-09T13:41:13GANGG-AAC
53379799673865361
57658272178110966561697
A972FB3C99496A0Bno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
250
260
270
280
290
2100
Last modified: 2021-03-26T16:50:03+00:00