is 2 1782167 - 1
has 536486 decimal digits
takes 0.097 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
Actual26716.672968.6567%500000150000000.10155.0524%16.774470.2403%1.5836%
PrimeNet2570.010863.1579%80001400000.00122.8122%0.012064.1940%1.0361%
GPU722610.172465.5738%80001300000.00121.4920%0.173566.0874%0.5136%
Difference+6+16.5006+3.0829%+492000+14870000+0.1003+3.5604%+16.6009+4.1529%+4.1529%

Known prime factors (2 factors, 115.1 bits, 0.00646085% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17821673529546100171238.36199024
24 × 3 × 2063
-1620632.946e-81.003e-51.650e-5
17821671299576466719043151698872476.78236460569259756329
3 × 137 × 5159159 × 17195021
2020-07-1951591591719502111,7270.45740.8259

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
17821674586915049980906551152692318695807935115.143
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:33:26alpertronManual testing5000001500000012-
skipped known factor: 352954610017
--0.101--5.052%


Trial Factoring results:
No TF results for M1782167


ECM factoring results:

Old Calculation Method

Total ECM effort:17.767 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:17.767 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.3230.024%
25500000.75247.133%
302500000.04695.474%
3510000000.00299.788%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025617.63
50000500000020.138


Lucas-Lehmer results:
No L-L results for M1782167


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T14:25:49Oliver KruseGTX-3
352954610017
AC70106F7F8A70__no
2017-11-04T18:13:28ATHec2-1xf
352954610017
AC70106F7F8A70__no
2020-07-22T07:34:12Sébastien BrouckePortable_Seb
352954610017
129957646671904315169887
9ABA258421995980no
2020-07-22T09:50:47Bommer6600K
352954610017
129957646671904315169887
9ABA258421995980no


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
107
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
230
240
250
260
270
280
290
2100
Last modified: 2020-11-13T10:46:23+00:00