is 2 14040473 - 1
has 4226604 decimal digits
takes 6.229 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-LA712F8259232A9CAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27268.112666.6667%320000025920000011.03177.8399%79.144369.2800%2.6133%
PrimeNet2650.519663.0769%6000019000000.10314.0036%0.622764.5552%1.4783%
GPU722698.503065.2174%9000024000000.13892.8543%8.641966.2102%0.9928%
Difference+3+59.6096+1.4493%+3110000+256800000+10.8928+4.9856%+70.5024+3.0698%+3.0698%

Known prime factors (1 factor, 74.9 bits, 0.00053341% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14040473350766745116150597542572374.8931249127237793736
23 × 7 × 967 × 23067056393
2021-07-3196723067056393358.37808.521,510.1

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers1550001860000---0.159--2.091%
2020-10-14T17:41:00masserManual testing500000100000002---0.655--3.683%
2021-06-28T22:51:26masserManual testing3200000259200000---11.03--7.840%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-31T12:36:59masserManual testing168000010416000027P+12374.8935.163


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-24T00:00:00lalerav4_computers?256--0.001--
2001-01-14T00:00:00ANONYMOUSv4_computers?265--0.266--
2014-07-22T14:14:00NesowaManual testing265266--0.532--
2015-08-20T09:21:00ThaManual testing266267--1.064--
2018-03-04T23:06:55ramgeisManual testing267268--2.129--
2018-03-04T23:06:55ramgeisManual testing268269--4.258--
2020-05-07T23:22:02masserManual testing269270--8.516--
2020-07-15T12:35:31masserManual testing270271--17.03--
2021-04-04T18:25:18masserManual testing271272--34.06--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.732 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:2.732 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11689.084%
25500000.01198.857%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.675
76620758538022.057


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-08T00:00:00ANONYMOUSv4_computersA712F8259232A9CA6.229
2005-11-13T00:00:00ANONYMOUSv4_computersA712F8259232A9CA6.229


PRP results:
Exponent "14040473" not found


P-1 factor-bounds graph:
B1 = 3200000, B2 = 259200000 (P-1 stage 2)
B1 = 1680000, B2 = 104160000 (P+1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 1680000 (P+1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 155000, B2 = 1860000 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-07-31T12:36:59+00:00