is 2 1333691 - 1
has 401481 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
Actual26722.279568.6567%500000150000000.07144.8785%22.350970.1858%1.5291%
PrimeNet2560.007262.5000%60001000000.00062.6067%0.007863.4775%0.9775%
GPU722600.115265.0000%5500400000.00040.9789%0.115665.3426%0.3426%
Difference+7+22.1643+3.6567%+494500+14960000+0.0710+3.8996%+22.2353+4.8432%+4.8432%

Known prime factors (5 factors, 227.1 bits, 0.01702505% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13336912667383721.3471
1
-112.095e-135.536e-81.127e-7
1333691447399982871135.38116773
3 × 5591
2008-07-15355915.596e-91.702e-53.152e-5
133369127031889359691341.2981013424
24 × 3 × 43 × 491
2008-07-15434912.978e-73.732e-64.845e-6
1333691191786074764368871754.0907190049073
34429 × 208837
2014-10-31344292088370.00300.00240.0039
1333691363795281169264601893432374.94613638664472102781
3 × 271 × 630467 × 26608411
2018-05-30630467266084114,371.90.11330.1499

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
13336911193387108507729211856.728
133369172104402135917991271962.645
1333691511566915463206529567212375.437
13336911209406683646904126851032476.679
13336918580508656428317172436125692789.471
1333691518433995375965368089126885032995.388
1333691970381348471116521592302993692996.293
13336913225950828046130070592280954493098.026
1333691162762002563315816457617951565544134110.326
1333691228875029215097339443641902513692734110.818
13336919834073790144875613785174244317836735116.243
133369113828620258879286314296795379719764936116.735
133369169770868993253175442996968574100949524139129.036
1333691231947360650432564892788612995678459436140130.769
1333691434148598683345032450170344500755718090340131.673
133369126231241248578008749325139431331244210356142137.590
1333691186105629847830634872667583026091113044442430346150.383
1333691439976444525313332442576769276776533441545732946151.624
1333691618692446693832766241421168898251796166042726346152.116
13336913121548559240648483876994840151469314273307465216750164.417
133369118860384111550454556558545569231647687484445592235
29
52170.334
133369111735856885272638526306777505637960201009105816600
007
53172.971
133369183263655605929986748692701277077466739142776864921
168961
56185.764
133369150307867952619786126436802956093820103585322937153
34454607
58191.681
133369184381355284292935377450067338263535744424160713575
157510094823
62205.715
133369122507739260228314284590889296693940476456935107665
8244364749259258209
69227.062
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:05:08alpertronManual testing5000001500000012-
skipped known factor: 2667383
skipped known factor: 44739998287
skipped known factor: 2703188935969
skipped known factor: 19178607476436887
--0.071--4.878%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T09:58:00J FeitsmaManual testing??41.298137.81624e-80.1111.69886e-7
2008-07-15T09:58:00J FeitsmaManual testing??35.381112.16400e-90.1114.70347e-9
2014-10-31T12:49:00TJAOIManual testing254255*54.090170.0010.1070.003


ECM factoring results:

Old Calculation Method

Total ECM effort:25.289 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000304 / 1003.0404.711%
2550000304 / 2801.08633.700%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.289 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.3600.000%
25500001.36625.525%
302500000.11489.267%
3510000000.00899.234%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025111.71
50000500000030.140
250000350000005013.44


Lucas-Lehmer results:
No L-L results for M1333691


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T05:04:24Oliver KruseGTX-0
2667383
44739998287
2703188935969
19178607476436887
63B524221FE31C58no
2017-09-30T19:23:46alpertronManual testing
2667383
44739998287
2703188935969
19178607476436887
63B524221FE31C__no
2017-10-18T05:45:22Oliver KruseThreadripper
2667383
44739998287
2703188935969
19178607476436887
63B524221FE31C__no
2018-06-01T19:28:46M Graber4fbe3b4e25
2667383
44739998287
2703188935969
19178607476436887
36379528116926460189343
4A89AF6B06515F__no
2018-06-05T02:51:03-Anonymous-
2667383
44739998287
2703188935969
19178607476436887
36379528116926460189343
4A89AF6B06515F__no


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
TF factor-bounds graph:
267
255
2
220
230
240
250
260
270
280
290
2100
Last modified: 2021-07-16T08:44:39+00:00