is 2 1333091 - 1
has 401301 decimal digits
takes 0.051 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE1A65D27952A7F8Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26722.289568.6567%500000150000000.07144.8782%22.360970.1857%1.5290%
PrimeNet2560.007262.5000%60001000000.00062.6065%0.007863.4774%0.9774%
GPU722600.115265.0000%5500400000.00040.9788%0.115665.3426%0.3426%
Difference+7+22.1743+3.6567%+494500+14960000+0.0710+3.8994%+22.2453+4.8431%+4.8431%

Known prime factors (2 factors, 172.4 bits, 0.01293478% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1333091290397088656179911443075192684.58610891870422055955349
3 × 37 × 2349181 × 41769858839
2013-09-082349181417698588395,692,755126.11235.31
13330912781700857897765012712887592787.846104332744647505872169
7 × 368140103 × 40486428089
2018-06-013681401034048642808942,997,509141.39228.08

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
133309180779783064590898399658726548440960094231957438789
21
52172.432
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers15000213750---0.001--0.791%
2016-03-17T19:05:07alpertronManual testing5000001500000012---0.071--4.878%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-06-23T00:00:00ANONYMOUSv4_computers21258--0.029--
2022-03-07T17:32:34LordJuliusManual testing258260--0.086--
2009-02-26T16:32:00Sturle Sundescarpia.ifi260261--0.115--
2011-05-09T14:44:00XyzzyManual testing261262--0.230--
2013-01-10T10:19:00dbaughManual testing262263--0.736--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.101 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000300 / 1003.0004.904%
2550000300 / 2801.07134.186%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.101 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.6150.000%
25500001.64719.258%
302500000.14186.886%
3510000000.01099.022%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000001908.867
500005000000602.800
250000350000005013.43


Lucas-Lehmer results:
No L-L results for M1333091


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T04:55:14Oliver KruseGTX-0
29039708865617991144307519
63E1C2D1A8E84C__no
2017-10-23T22:34:17kkmrkkblmbrbkc4.xlarge
29039708865617991144307519
63E1C2D1A8E84C__no
2018-06-01T13:03:23axnskylake
29039708865617991144307519
278170085789776501271288759
A6F7010A6A1C4E__no
2018-06-02T06:32:28BattlemaxxWork-3
29039708865617991144307519
278170085789776501271288759
A6F7010A6A1C4E__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 15000, B2 = 213750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
108
109
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-03-07T17:32:34+00:00