is 2 1513667 - 1
has 455660 decimal digits
takes 0.068 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
Actual26719.630468.6567%30000002730000001.14709.4014%20.777571.6034%2.9467%
PrimeNet2570.012763.1579%65001100000.00082.4091%0.013564.0455%0.8876%
GPU722610.202965.5738%6000500000.00050.9499%0.203565.9008%0.3270%
Difference+6+19.4275+3.0829%+2994000+272950000+1.1465+8.4515%+20.5740+5.7027%+5.7027%

Known prime factors (3 factors, 174.4 bits, 0.01152464% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1513667121093361926.85240
23 × 5
-885.957e-125.181e-71.054e-6
15136674123263653835458914012168.482136201147737100
22 × 52 × 41 × 67 × 495817793
2019-05-316749581779357.6721.74963.2677
15136676527129381613779807368072479.111215606516546036209
11 × 191 × 102620902687309
2017-11-27191102620902687309138,468362,115676,330

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1513667499299854132076260874880887612995.334
15136677903920345014642007881321603832732105.962
151366726913075343089613188431915962874704758549660745147.593
151366732589947481409493851771470236140492210954718995726
127
53174.445
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:15:43alpertronManual testing5000001500000012-
skipped known factor: 121093361
--0.084--4.954%
2021-07-24T02:43:33Dylan Delgadolaptop-ryzen737003000000273000000-
skipped known factor: 121093361
--1.147--9.401%


Trial Factoring results:
No TF results for M1513667


ECM factoring results:

Old Calculation Method

Total ECM effort:31.165 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:31.165 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.67418.740%
302500000.14486.623%
3510000000.01099.005%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020811.60
500005000000402.231
50000500000030.167
250000400000005017.17


Lucas-Lehmer results:
No L-L results for M1513667


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-01T12:08:30Oliver KruseGTX-1
121093361
4C93B6E549DE1A__no
2017-10-29T15:37:16kkmrkkblmbrbkc4.xlarge
121093361
4C93B6E549DE1A__no
2017-11-29T04:33:17kkmrkkblmbrbkc4.xlarge
121093361
652712938161377980736807
F6BE61B3A59D16__no
2017-11-29T21:12:47Oliver KruseThreadripper
121093361
652712938161377980736807
F6BE61B3A59D16__no
2019-06-04T16:51:28vnatinSRV1
121093361
412326365383545891401
652712938161377980736807
F6BE61B3A59D1636no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 273000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-10T10:39:28+00:00