is 2 1786331 - 1
has 537740 decimal digits
takes 0.097 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
Actual26716.634068.6567%500000150000000.10155.0538%16.735570.2408%1.5840%
PrimeNet2570.010763.1579%80001400000.00122.8134%0.011964.1944%1.0365%
GPU722610.172065.5738%80001300000.00121.4927%0.173166.0877%0.5139%
Difference+6+16.4621+3.0829%+492000+14870000+0.1003+3.5611%+16.5624+4.1531%+4.1531%

Known prime factors (3 factors, 158.2 bits, 0.00885468% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17863313572663721.7691
1
-111.564e-137.866e-81.601e-7
17863311543674828232698711857.09943207972885
5 × 72 × 112 × 1457513
2015-06-2112114575130.01160.00630.0117
17863317474074693505040830653112479.306209201841470171005
5 × 127 × 329451718850663
2020-05-2912732945171885066394,7231,411,9482,637,125

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
17863315515029942858318071364732478.868
1786331267023501167217996891636319319331101.075
178633111537540968694754161013685086705387154488142136.405
178633141219745729839906485149635202924128587514918810348158.174
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
unknown50000015000000-
skipped known factor: 3572663
--0.101--5.054%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2015-05-25T11:27:00TJAOIManual testing257258*57.099180.0010.1970.002


ECM factoring results:

Old Calculation Method

Total ECM effort:17.290 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.290 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001319.024
5000050000001208.266


Lucas-Lehmer results:
No L-L results for M1786331


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:24:43alpertronManual testing
3572663
154367482823269871
9151E706EC444F__no
2017-10-19T18:07:18Oliver KruseGTX-3
3572663
154367482823269871
9151E706EC444F__no
2020-05-30T19:01:45mnd975211backdoor
3572663
154367482823269871
747407469350504083065311
6F704BCF1B396DF7no
2020-05-31T18:17:37Oliver KruseThreadripper-PC
3572663
154367482823269871
747407469350504083065311
6F704BCF1B396DF7no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
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104
105
106
100
101
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1010
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1015
TF factor-bounds graph:
267
258
220
230
240
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260
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2100
Last modified: 2020-11-13T10:48:49+00:00