is 2 33317 - 1
has 10030 decimal digits
takes 0.000 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
Actual267891.854576.1194%200000000061705638111117032,093.879131.1342%32,985.733683.5544%7.4350%
PrimeNet2400.000060.0000%500100000.00004.2144%0.000061.6858%1.6858%
GPU722440.000163.6364%500100000.00001.8135%0.000164.2958%0.6595%
Difference+23+891.8545+12.4830%+1999999500+617056381101170+32,093.8791+29.3207%+32,985.7336+19.2586%+6.7756%

Known prime factors (3 factors, 246.5 bits, 0.73995355% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3331733837895969191341.62250781727
50781727
-1507817271.509e-50.00260.0049
3331784901590492471342.949127414819
7 × 617 × 29501
2008-08-26617295013.456e-52.091e-62.866e-6
33317568464892876327248655537128912320848555011787687349161.96085311536584375431259647796757259184283550708
22 × 3 × 787 × 484447 × 771941 × 11317997 × 12467639 × 171185751458077
2022-09-05124676391711857514580774.524e+128,903.116,628

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
33317287289118670297064004699932684.571
3331719235655907285898952452562661196607050247633806557
024742154287
62203.581
3331748263573544331762565985344694083380507920351531280
847889364631
62204.909
3331716331377806944488703036436266245367749307270779498
9604699337696638505171889
75246.530
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-16T19:15:04kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 3383789596919
skipped known factor: 8490159049247
--0.441--12.415%
2022-07-23T00:01:42nordisweet16_ccx220000000002000000000-
skipped known factor: 3383789596919
skipped known factor: 8490159049247
--1.909--11.031%
2022-09-04T23:13:43nordisweet16_30.8b14200000000061705638111117049161.96032,0944.38674e-564,18831.134%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-28T13:11:15ATHec2-P_11000000001000000000027--0.544


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??42.949131.69728e-54.48388e-53.46972e-5


ECM factoring results:
Total ECM effort:21.719 GHz-days
Estimated T-Level:34.960
DigitsB1CompleteFacMiss
2011000300.8090.000%
255000056.5990.000%
302500008.2970.025%
3510000000.99237.085%
4030000000.09890.629%
45110000000.00899.181%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002830.194
250000250000005842.005
10000001000000001,42119.52


Lucas-Lehmer results:
No L-L results for M33317


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:43:58Oliver KrusePRP
3383789596919
8490159049247
F530A8754C432E__no
2017-09-21T21:29:05Oliver KruseManual testing
3383789596919
8490159049247
F530A8754C432E__no
2017-10-12T22:20:59kkmrkkblmbrbkManual testing
3383789596919
8490159049247
F530A8754C432E__no
2020-04-17T13:48:15Oliver KruseManual testing
3383789596919
8490159049247
B9030A1AA49033__no
2022-09-05T21:18:29nordisweet16_30.8b14
3383789596919
8490159049247
5684648928763272486555371289123208485550117876873
B9030A1AA490334Ano


P-1 factor-bounds graph:
B1 = 2000000000, B2 = 617056381111170 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-09-05T21:18:29+00:00