is 2 191509 - 1
has 57650 decimal digits
takes 0.001 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
Actual267155.156873.1343%10000000020000000001.360712.2922%156.517576.4367%3.3024%
PrimeNet2400.000055.0000%2000450000.000012.1469%0.000060.4661%5.4661%
GPU722440.000059.0909%3600800000.00018.8017%0.000162.6916%3.6007%
Difference+23+155.1568+14.0434%+99996400+1999920000+1.3607+3.4905%+156.5174+13.7451%+13.7451%

Known prime factors (3 factors, 166.2 bits, 0.08678899% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
191509153743425211133.84040140
22 × 32 × 5 × 223
-92231.009e-81.381e-71.508e-7
1915096071597505831239.1431585199
72 × 11 × 17 × 173
2008-07-27491734.270e-73.728e-76.668e-7
191509115800600514667981557535819272993.22630233722831477367005607
42548509 × 710570676671123
2022-06-18425485097105706766711231.561e+10258,845483,451

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
19150993346819704279714397432272.983
19150917803580964499944330572667541833321796739127.065
191509703094637258474331155294918920617651344140132.369
19150910809617777890032777067885726256499380642749432476
1
51166.209
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-07-29T22:36:09kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 15374342521
skipped known factor: 607159750583
--1.361--12.292%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-27T10:50:00J FeitsmaManual testing??39.143124.46160e-80.0029.25342e-8


ECM factoring results:

Old Calculation Method

Total ECM effort:12.865 GHz-days
Estimated T-Level:28.648
DigitsB1CurvesCompleteFacMiss
2011000748 / 1007.4800.054%
2550000748 / 2802.6716.882%
30250000467 / 6400.73048.178%

New Calculation Method

Total ECM effort:12.865 GHz-days
Estimated T-Level:28.648
DigitsB1CompleteFacMiss
201100053.5800.000%
25500007.6150.049%
302500000.79445.216%
3510000000.06593.719%
4030000000.00499.569%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.370
2500002500000043210.53
25000031250000140.369
2500003600000070.195
2500003725000070.198
2500003850000070.201


Lucas-Lehmer results:
No L-L results for M191509


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T01:33:02Oliver KruseOllaptop
15374342521
607159750583
D0261F48347D9E__no
2017-09-22T10:02:00Oliver KruseManual testing
15374342521
607159750583
D0261F48347D9E__no
2017-10-12T05:04:23kkmrkkblmbrbkc4.xlargeD0261F48347D9E__no
2020-04-17T19:02:53Oliver KruseAddPrpType5
15374342521
607159750583
723AB164AF1C19__no
2022-06-20T06:15:20some-studentsGIMPS_IN_SHANGHAI
15374342521
607159750583
11580060051466798155753581927
723AB164AF1C19D8no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
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108
100
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TF factor-bounds graph:
267
2
230
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2100
Last modified: 2022-07-13T13:58:06+00:00