is 2 11616343 - 1
has 3496868 decimal digits
takes 4.472 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L976BE9870A71DDD5double-checked
PRP01DF54CE91E92524

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27141.155766.1972%61891071856732108.91418.3305%50.069769.0131%2.8159%
PrimeNet2640.306462.5000%5000015000000.07204.0266%0.378464.0100%1.5100%
GPU722685.131164.7059%8000020000000.10312.9267%5.234265.7388%1.0330%
Difference+3+36.0245+1.4913%+6109107+183673210+8.8110+5.4037%+44.8356+3.2743%+3.2743%

Known prime factors (1 factor, 120.7 bits, 0.00103884% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11616343212190559133868147859794609185972487137120.67591332771051039104070788289045
3 × 5 × 193 × 244589 × 537029 × 1851133 × 129749527
2021-08-2118511331297495271.527e+104.92347.3706

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00MadPoov4_computers120000870000---0.090--1.776%
2019-11-15T03:48:37riccardo ubertiNomad2C430000850000012---0.485--3.769%
2021-08-21T16:36:38LaurVManual testing618910718567321037120.6758.9148.94517.838.330%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-01-25T00:00:00ANONYMOUSv4_computers?264--0.169--
2013-11-05T18:37:00lycornManual testing264265--0.322--
2014-12-20T11:10:00NesowaManual testing265266--0.643--
2016-01-15T21:22:31VictordeHollanderManual testing266267--1.287--
2018-01-18T22:59:18ramgeisManual testing267268--2.573--
2018-01-18T22:59:18ramgeisManual testing268269--5.146--
2021-08-06T14:56:13SRBaseManual testing269270--10.29--
2021-08-15T07:46:45SRBaseManual testing270271--20.59--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.171 GHz-days
Estimated T-Level:0.100
DigitsB1CurvesCompleteFacMiss
20110002 / 1000.02098.010%
25500002 / 2800.00799.287%

New Calculation Method

Total ECM effort:1.171 GHz-days
Estimated T-Level:0.100
DigitsB1CompleteFacMiss
20110000.06593.752%
25500000.00699.419%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-01-08T00:00:00MadPoov4_computers976BE9870A71DDD54.472
2004-07-02T00:00:00Team Prime Ribv4_computers976BE9870A71DDD54.472


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-19T21:00:08Yizhe Huangclb3
2121905591338681478597946091859724871
01DF54CE91E92524no


P-1 factor-bounds graph:
B1 = 6189107, B2 = 185673210 (P-1 stage 2)
B1 = 6189107 (P-1 stage 1)
B1 = 430000, B2 = 8500000 (P-1 stage 2)
B1 = 430000 (P-1 stage 1)
B1 = 120000, B2 = 870000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
104
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106
107
104
105
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107
108
109
TF factor-bounds graph:
271
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269
268
267
266
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264
250
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2100
2110
2120
2130
Last modified: 2021-09-19T21:00:08+00:00