is 2 1459681 - 1
has 439408 decimal digits
takes 0.056 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF42D8B93E006A6A5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26720.356468.6567%500000150000000.07144.9321%20.427970.2026%1.5459%
PrimeNet2560.006662.5000%70001200000.00072.9078%0.007363.5904%1.0904%
GPU722600.105265.0000%6500900000.00061.3985%0.105865.4895%0.4895%
Difference+7+20.2512+3.6567%+493500+14910000+0.0708+3.5336%+20.3220+4.7131%+4.7131%

Known prime factors (1 factor, 63.7 bits, 0.00436183% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1459681146633216046180414012063.6695022782924700
22 × 3 × 52 × 17 × 984859397
2009-09-30259848593971.40782.97065.5482

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-29T00:00:00Team Prime Ribv4_computers15000243750---0.002--0.840%
2016-03-17T19:14:37alpertronManual testing5000001500000012---0.071--4.932%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-07-21T00:00:00ANONYMOUSv4_computers21258--0.026--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.754 GHz-days
Estimated T-Level:24.429
DigitsB1CurvesCompleteFacMiss
2011000248 / 1002.4808.270%
2550000248 / 2800.88641.177%

New Calculation Method

Total ECM effort:11.754 GHz-days
Estimated T-Level:24.429
DigitsB1CompleteFacMiss
20110009.5380.007%
25500000.88341.372%
302500000.05694.585%
3510000000.00399.740%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000024811.75


Lucas-Lehmer results:
No L-L results for M1459681


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-01T02:59:49Oliver KruseGTX-1
14663321604618041401
43A79CC1E49FE7__no
2017-10-27T19:17:01kkmrkkblmbrbkc4.xlarge
14663321604618041401
43A79CC1E49FE7__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 15000, B2 = 243750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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100
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109
TF factor-bounds graph:
267
258
250
260
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2100
Last modified: 2019-03-15T12:31:47+00:00