is 2 1467281 - 1
has 441696 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-LD48EFB610B0A0590double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26720.251068.6567%500000150000000.07144.9352%20.322470.2036%1.5469%
PrimeNet2560.006562.5000%70001200000.00072.9107%0.007363.5915%1.0915%
GPU722600.104765.0000%65001000000.00061.4465%0.105365.5063%0.5063%
Difference+7+20.1463+3.6567%+493500+14900000+0.0708+3.4887%+20.2171+4.6973%+4.6973%

Known prime factors (2 factors, 151.0 bits, 0.01029160% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1467281108335926940181230283592373.1983691723907696659
3691723907696659
2019-03-29136917239076966591,800.111,135,21420,797,478
14672812647145452087855931278872477.80990205811023514103
32 × 61 × 18679 × 19069 × 461297
2009-04-281906946129740,6510.00240.0026

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1467281286780956297422973553259181973778533161474743346151.007
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-29T00:00:00Team Prime Ribv4_computers20000265000---0.002--0.956%
2016-03-17T19:14:43alpertronManual testing5000001500000012-
skipped known factor: 264714545208785593127887
--0.071--4.935%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-02T00:00:00ANONYMOUSv4_computers21256--0.007--
1999-01-10T00:00:00ANONYMOUSv4_computers21256--0.007--
2001-10-06T00:00:00ANONYMOUSv4_computers21257--0.013--
2003-07-30T00:00:00ANONYMOUSv4_computers21258--0.026--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.588 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.588 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000023711.24
500005000000140.664
250000350000005013.68


Lucas-Lehmer results:
No L-L results for M1467281


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-01T04:14:43Oliver KruseGTX-1
264714545208785593127887
2B9322AA2904F7__no
2017-10-28T01:42:15kkmrkkblmbrbkc4.xlarge
264714545208785593127887
2B9322AA2904F7__no
2019-03-29T13:35:23ATHec2-PRPCF
10833592694018123028359
264714545208785593127887
6CBEDC2904DFB443no
2019-03-30T11:14:03kkmrkkblmbrbkc5.large
10833592694018123028359
264714545208785593127887
6CBEDC2904DFB443no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 20000, B2 = 265000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-18T14:05:57+00:00