is 2 2437429 - 1
has 733740 decimal digits
takes 0.165 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9A4313E45984FC7Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.454067.6471%30000001000000000.81157.8589%25.265570.1896%2.5426%
PrimeNet2590.031562.7119%100001800000.00192.5258%0.033463.6537%0.9418%
GPU722630.654865.0794%100001500000.00171.3062%0.656565.5355%0.4561%
Difference+5+23.7992+2.5677%+2990000+99850000+0.8098+6.5526%+24.6090+4.6541%+4.6541%

Known prime factors (1 factor, 93.5 bits, 0.00383510% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2437429137915953298616310181077420392993.4782829127603278214671711
3 × 19 × 13049 × 819653 × 4640560259
2020-07-1981965346405602591.270e+924.84246.256

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-09T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.233%
2003-02-24T00:00:00ANONYMOUSv4_computers4096409600---0.003--0.477%
2015-12-21T06:40:00mikrMSI300000010000000012---0.812--7.859%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-30T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:14Mark RoseManual testing259260--0.032--
2009-01-10T19:29:00Sturle Sundegoober.ifi260261--0.063--
2012-06-05T22:43:00Sebastian HornbostelManual testing261262--0.126--
2013-01-23T08:28:00dbaughManual testing262263--0.403--
2015-02-27T20:41:00VictordeHollanderManual testing263264--0.805--
2015-02-27T20:41:00VictordeHollanderManual testing264265--1.533--
2015-10-25T20:35:01ramgeisManual testing265266--3.066--
2017-07-08T12:01:26Gordon SpenceManual testing266267--6.132--
2019-05-27T13:36:56TJAOIManual testing267268--12.26--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.442 GHz-days
Estimated T-Level:3.050
DigitsB1CurvesCompleteFacMiss
201100061 / 1000.61054.169%
255000061 / 2800.21880.393%

New Calculation Method

Total ECM effort:5.442 GHz-days
Estimated T-Level:3.050
DigitsB1CompleteFacMiss
20110001.96813.977%
25500000.17883.707%
302500000.01198.911%


ECM Summary

B1B2factorcurvesGHz-days
500005000000605.353
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-25T00:00:00ANONYMOUSv4_computers9A4313E45984FC7D0.165


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-23T15:15:10oodairacom1
13791595329861631018107742039
1CAEB300AA62A471no
2020-07-24T11:41:16marssystemssystem03
13791595329861631018107742039
1CAEB300AA62A471no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4096 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
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104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
280
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2100
Last modified: 2020-07-24T11:41:16+00:00