is 2 16067 - 1
has 4837 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
Actualunknown50000500000.000010.3293%0.000010.3293%10.3293%
PrimeNet2400.000065.0000%500100000.00003.4903%0.000066.2216%1.2216%
GPU722440.000168.1818%500100000.00001.4601%0.000168.6464%0.4646%
Difference-44-0.0001-68.1818%+49500+40000+0.0000+8.8691%-0.0001-58.3171%-58.3171%

Known prime factors (3 factors, 256.0 bits, 1.59345421% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
160676048439951949377573612169.03518822555399108040
23 × 5 × 312 × 489660650341
2014-04-239614896606503418,364.89.219517.219
1606799392438911840956417432273.074309306152087636013
32 × 6131 × 452201 × 12396047
2008-08-2945220112396047164,7470.00040.0004
160671953392181406463949731082638525680735113.912607889519327336761601755971409
607889519327336761601755971409
2022-01-1916078895193273367616017559714091.115e+131.145e+192.138e+19

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
16067601169198436066760242537160647731451712022343142.109
1606711814975311844402652687149639106851132711553150639
606327
56182.947
1606719415241306130971587488175860936671294705154583852
4094601
57186.985
1606711743192119274038447047664364000455717327058152624
1009765256950234681948107961
78256.020
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06T16:47:06Lisander ViaeneManual testing5000050000---1.72792e-5--6.374%


Trial Factoring results:
No TF results for M16067


ECM factoring results:

Old Calculation Method

Total ECM effort:20.494 GHz-days
Estimated T-Level:35.904
DigitsB1CurvesCompleteFacMiss
20110002836 / 10028.3600.000%
25500002836 / 28010.1290.004%
302500002768 / 6404.3251.319%
3510000002301 / 15801.45623.298%
403000000850 / 47000.18183.454%

New Calculation Method

Total ECM effort:20.494 GHz-days
Estimated T-Level:35.904
DigitsB1CompleteFacMiss
2011000418.3960.000%
255000087.7580.000%
3025000014.9390.000%
3510000002.07112.605%
4030000000.24178.598%
45110000000.02497.587%
50440000000.00299.780%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000680.017
250000250000004670.581
10000001000000001,4517.216
300000030000000078011.64
3000000300000000701.044


Lucas-Lehmer results:
No L-L results for M16067


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:16:25Oliver KrusePRP
604843995194937757361
9939243891184095641743
BB215834E829ECE2no
2017-09-21T21:28:33Oliver KruseManual testing
604843995194937757361
9939243891184095641743
BB215834E829ECE2no
2017-10-02T10:06:43kkmrkkblmbrbkManual testing
604843995194937757361
9939243891184095641743
BB215834E829EC__no
2017-12-07T02:54:47ATHManual testing
604843995194937757361
9939243891184095641743
BB215834E829EC__no
2020-04-17T13:48:00Oliver KruseManual testing
604843995194937757361
9939243891184095641743
1275ED243D74A6__no
2022-01-19T06:53:42mikrNitron
604843995194937757361
9939243891184095641743
19533921814064639497310826385256807
1275ED243D74A63Cno


P-1 factor-bounds graph:
B1 = 50000 (P-1 stage 1)
100
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106
100
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1016
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TF factor-bounds graph:
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2120
Last modified: 2022-02-06T16:47:06+00:00