is 2 14054611 - 1
has 4230860 decimal digits
takes 6.236 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L470D3F82B522ACEEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27268.044166.6667%700000021000000011.61878.0654%79.662869.3551%2.6885%
PrimeNet2650.519163.0769%6000019000000.10314.0042%0.622264.5554%1.4785%
GPU722698.494565.2174%9000024000000.13892.8547%8.633466.2103%0.9929%
Difference+3+59.5496+1.4493%+6910000+207600000+11.4798+5.2106%+71.0294+3.1448%+3.1448%

Known prime factors (1 factor, 72.3 bits, 0.00051450% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1405461158606823682429336815992272.312208496783306309
17 × 12264516665077
2021-09-111712264516665077124.15429,881802,897

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers130000617500---0.101--1.474%
2017-07-25T10:24:54ThaManual testing30000060000006---0.393--3.077%
2020-12-21T20:41:12masserManual testing5800001360000012---0.829--3.995%
2021-01-28T15:05:21masserManual testing7000000210000000---11.62--8.065%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-11T04:07:19masserManual testing1000000100000027P+12272.3120.978


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-24T00:00:00lalerav4_computers?256--0.001--
2000-09-23T00:00:00Doug Milesv4_computers?265--0.266--
2001-03-17T00:00:00Doug Milesv4_computers?265--0.266--
2001-03-25T00:00:00Doug Milesv4_computers?265--0.266--
2001-04-08T00:00:00Doug Milesv4_computers?265--0.266--
2001-04-21T00:00:00Doug Milesv4_computers?265--0.266--
2001-07-03T00:00:00Doug Milesv4_computers?265--0.266--
2001-07-22T00:00:00Doug Milesv4_computers?265--0.266--
2001-08-04T00:00:00Doug Milesv4_computers?265--0.266--
2014-07-22T14:17:00NesowaManual testing265266--0.532--
2015-08-21T07:51:00ThaManual testing266267--1.063--
2018-03-13T09:55:40ramgeisManual testing267268--2.127--
2018-03-13T09:55:40ramgeisManual testing268269--4.254--
2020-05-29T14:46:26masserManual testing269270--8.507--
2020-09-15T00:26:43masserManual testing270271--17.01--
2021-05-13T16:38:31masserManual testing271272--34.03--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.723 GHz-days
Estimated T-Level:0.350
DigitsB1CurvesCompleteFacMiss
20110007 / 1000.07093.207%
25500007 / 2800.02597.527%

New Calculation Method

Total ECM effort:4.723 GHz-days
Estimated T-Level:0.350
DigitsB1CompleteFacMiss
20110000.22679.787%
25500000.02097.980%
302500000.00199.874%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.675
50000500000164.048


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-26T00:00:00ANONYMOUSv4_computers470D3F82B522ACEE6.236
2005-08-01T00:00:00ANONYMOUSv4_computers470D3F82B522ACEE6.236


PRP results:
Exponent "14054611" not found


P-1 factor-bounds graph:
B1 = 7000000, B2 = 210000000 (P-1 stage 2)
B1 = 7000000 (P-1 stage 1)
B1 = 580000, B2 = 13600000 (P-1 stage 2)
B1 = 1000000 (P+1 stage 1)
B1 = 300000, B2 = 6000000 (P-1 stage 2)
B1 = 580000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 130000, B2 = 617500 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-09-11T04:07:19+00:00