is 2 258067 - 1
has 77686 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267115.140373.1343%30000000100358126969105,417.947323.4475%5,533.087679.4337%
Target2440.000059.0909%45001200000.000110.3896%0.000163.3412%
Difference+23+115.1403+14.0434%+29995500+10035812576910+5,417.9472+13.0579%+5,533.0875+16.0924%

Known prime factors (4 factors, 282.5 bits, 0.10945353% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25806712387217823.56224
23 × 3
-884.353e-127.927e-81.613e-7
25806744871822854891342.0298693832
23 × 3 × 7 × 51749
2008-07-218517494.045e-62.801e-55.217e-5
258067230777831865432308161221912684.25544712774563472336285
33 × 5 × 521 × 635711588305571
2015-09-0452163571158830557123,413,168343,178640,962
258067835264487659651185725803124250766552580940132.61716183093686129012731689893017138312
23 × 4651 × 59069 × 115499 × 21380729 × 2981706350261
2022-04-292138072929817063502616.123e+111,609.83,006.3

11 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-21Oliver KruseOllaptop30000000300000000024-
skipped known factor: 12387217
skipped known factor: 4487182285489
--1.901--12.598%
2022-04-29Oliver KruseThreadripper-PC300000001003581269691040132.6175,4180.00410,83623.447%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21J FeitsmaManual testing??42.029131.77499e-60.0043.68951e-6


ECM factoring results:
Total ECM effort:13.559 GHz-days
Estimated T-Level:27.731
DigitsB1CompleteFacMiss
201100038.9970.000%
25500005.3590.471%
302500000.54657.914%
3510000000.04495.700%
4030000000.00399.710%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002331.698
500005000000470.343
250000250000002177.908
2500003525000080.331
2500003646419170.294
25000036750000281.180
25000038500000421.805


Lucas-Lehmer results:
No L-L results for M258067


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseOllaptop464E1EFCFB839B__?
2017-09-22Oliver KruseManual testing464E1EFCFB839B__?
2017-10-12kkmrkkblmbrbkc4.xlarge464E1EFCFB839B__no
2020-04-17Oliver KruseAddPrpType5
12387217
4487182285489
23077783186543230816122191
2C0BA0DB4338F2__no
2022-04-29aperson12012_VP113
12387217
4487182285489
23077783186543230816122191
8352644876596511857258031242507665525809
2C0BA0DB4338F277no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10035812696910 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2023-01-19T23:31:34+00:00