is 2 14022377 - 1
has 4221157 decimal digits
takes 6.221 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L6BB9C1DB284A4A86double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27268.200566.6667%800000032000000016.08258.6527%84.283169.5509%2.8842%
PrimeNet2650.520363.0769%6000019000000.10314.0029%0.623464.5549%1.4780%
GPU722698.514065.2174%9000024000000.13892.8537%8.652966.2100%0.9926%
Difference+3+59.6865+1.4493%+7910000+317600000+15.9437+5.7989%+75.6302+3.3409%+3.3409%

Known prime factors (1 factor, 74.7 bits, 0.00053301% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14022377315709406347411006645672374.7411125734268688579
11 × 19 × 5386288366931
2021-08-24195386288366931291.68188,794352,614

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-08T00:00:00ANONYMOUSv4_computers200000200000---0.129--0.957%
2017-04-08T01:46:33ThaManual testing300000600000012---0.393--3.076%
2020-12-02T20:58:43masserManual testing5500001265000012---0.778--3.910%
2021-05-07T13:09:32masserManual testing8000000320000000---16.08--8.653%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-24T01:16:32masserManual testing1000000100000027P+12374.7410.978


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-10-28T00:00:00ANONYMOUSv4_computers?264--0.140--
2000-11-15T00:00:00ANONYMOUSv4_computers?265--0.266--
2014-07-22T14:10:00NesowaManual testing265266--0.533--
2015-08-19T08:18:00ThaManual testing266267--1.066--
2018-02-05T20:30:07ramgeisManual testing267268--2.132--
2018-02-05T20:30:07ramgeisManual testing268269--4.263--
2020-04-24T03:46:41masserManual testing269270--8.527--
2020-10-11T02:26:19masserManual testing270271--17.05--
2020-12-18T16:28:59masserManual testing271272--34.11--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.373 GHz-days
Estimated T-Level:0.250
DigitsB1CurvesCompleteFacMiss
20110005 / 1000.05095.099%
25500005 / 2800.01898.227%

New Calculation Method

Total ECM effort:3.373 GHz-days
Estimated T-Level:0.250
DigitsB1CompleteFacMiss
20110000.16185.104%
25500000.01598.553%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.675
50000500000142.699


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-07T00:00:00Ernst W. Mayerv4_computers6BB9C1DB284A4A866.221
2005-06-19T00:00:00Team Prime Ribv4_computers6BB9C1DB284A4A866.221


PRP results:
Exponent "14022377" not found


P-1 factor-bounds graph:
B1 = 8000000, B2 = 320000000 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 550000, B2 = 12650000 (P-1 stage 2)
B1 = 1000000 (P+1 stage 1)
B1 = 300000, B2 = 6000000 (P-1 stage 2)
B1 = 550000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-08-24T01:16:32+00:00