is 2 1337459 - 1
has 402616 decimal digits
takes 0.051 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
Actual26722.216768.6567%500000150000000.07144.8801%22.288170.1863%1.5296%
PrimeNet2560.007262.5000%60001000000.00062.6082%0.007863.4781%0.9781%
GPU722600.114865.0000%5500400000.00040.9795%0.115265.3428%0.3428%
Difference+7+22.1019+3.6567%+494500+14960000+0.0710+3.9006%+22.1729+4.8435%+4.8435%

Known prime factors (3 factors, 199.5 bits, 0.01491275% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
133745984045281579691342.9343141976
23 × 292 × 467
-8418414.737e-74.656e-59.476e-5
133745918472242570476383236072270.646690572293075017
33 × 192 × 70849727411
2018-06-0336170849727411287.68213.70399.13
1337459707903223284291332658408392685.87226464483146185839441
26464483146185839441
2021-08-061264644831461858394416,925,1557.982e+101.491e+11

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
13374591552504828244024228618647083787418335113.580
133745959495925732098427444811252779060349599139128.806
133745913076560056929534795747237208851627764723838627348156.518
133745910990231720783698485093361819383066803928170037628
44785159537
61199.452
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:05:11alpertronManual testing5000001500000012-
skipped known factor: 8404528157969
--0.071--4.880%


Trial Factoring results:
No TF results for M1337459


ECM factoring results:

Old Calculation Method

Total ECM effort:25.255 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000303 / 1003.0304.758%
2550000303 / 2801.08233.821%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.255 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.3280.000%
25500001.36325.599%
302500000.11389.283%
3510000000.00899.235%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025111.72
50000500000020.093
25000035000000195.108
25000035000000318.334


Lucas-Lehmer results:
No L-L results for M1337459


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T05:28:39Oliver KruseGTX-1
8404528157969
04B2C160088FF9__no
2017-10-24T03:26:13kkmrkkblmbrbkc4.xlarge
8404528157969
04B2C160088FF9__no
2018-06-04T01:49:06Oliver KruseGTX-7
8404528157969
1847224257047638323607
7893D91B5548B9__no
2018-06-04T19:56:14BattlemaxxWork-3
8404528157969
1847224257047638323607
7893D91B5548B9__no
2021-08-06T14:08:07SRJ2877LTOS
8404528157969
1847224257047638323607
70790322328429133265840839
7893D91B5548B908no
2021-08-06T18:27:48JackBlockWin10
8404528157969
1847224257047638323607
70790322328429133265840839
7893D91B5548B908no


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
1012
1013
1014
1015
1016
1017
1018
1019
1020
TF factor-bounds graph:
267
240
250
260
270
280
290
2100
Last modified: 2021-08-06T18:27:48+00:00