is 2 1854407 - 1
has 558233 decimal digits
takes 0.101 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
Actual26716.023468.6567%500000150000000.10155.0767%16.124970.2479%1.5912%
PrimeNet2570.010463.1579%90001600000.00143.0244%0.011764.2722%1.1143%
GPU722610.165665.5738%90001500000.00131.6317%0.167066.1355%0.5617%
Difference+6+15.8578+3.0829%+491000+14850000+0.1002+3.4449%+15.9579+4.1124%+4.1124%

Known prime factors (2 factors, 96.2 bits, 0.00518884% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1854407270743423928.01273
73
-1731.959e-113.872e-76.104e-7
18544073413656351187975669512168.21092041724151925
52 × 331 × 11122866967
2020-11-223311112286696736.50347.67089.034

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1854407924225005466322649203854132732996.222
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:36:11alpertronManual testing5000001500000012-
skipped known factor: 270743423
--0.101--5.077%


Trial Factoring results:
No TF results for M1854407


ECM factoring results:

Old Calculation Method

Total ECM effort:19.778 GHz-days
Estimated T-Level:24.589
DigitsB1CurvesCompleteFacMiss
2011000257 / 1002.5707.555%
2550000257 / 2800.91839.872%

New Calculation Method

Total ECM effort:19.778 GHz-days
Estimated T-Level:24.589
DigitsB1CompleteFacMiss
20110008.7930.015%
25500000.79745.072%
302500000.04995.189%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000261.798
50000500000050.346
50000660000021917.08
50000675000070.552


Lucas-Lehmer results:
No L-L results for M1854407


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T07:14:52Oliver KruseGTX-0
270743423
3DE64EDB2AF604__no
2017-11-07T02:18:05kkmrkkblmbrbkc4.xlarge
270743423
3DE64EDB2AF604__no
2020-11-22T15:35:54mrhx
270743423
341365635118797566951
E98BFA0927649A47no


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
220
230
240
250
260
270
280
290
2100
Last modified: 2021-08-13T08:30:36+00:00