is 2 2819423 - 1
has 848731 decimal digits
takes 0.218 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDDF6493AC0B8EB4Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.539067.1642%33602133602100.05613.7399%10.595168.3922%1.2280%
PrimeNet2590.027262.7119%120002400000.00272.9308%0.030063.8047%1.0928%
GPU722630.566165.0794%150002600000.00321.7921%0.569365.7052%0.6258%
Difference+4+9.9729+2.0848%+321021+3100210+0.0529+1.9478%+10.0258+2.6870%+2.6870%

Known prime factors (1 factor, 66.6 bits, 0.00236134% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28194231099997362777455774892166.57619507490766328
23 × 31 × 15331 × 5130731
2017-10-281533151307319.33200.03290.0585

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.301%
2016-09-14T01:53:47Jocelyn Larouchelow 4M13504133000006---0.034--3.278%
2016-09-21T12:09:27Jocelyn Larouchelow 4M1350413630000---0.036--3.346%
2016-12-21T00:33:38Jocelyn Larouchelow 4M194458194458---0.022--1.383%
2017-01-10T10:25:18Jocelyn Larouchelow 4M233349233349---0.026--1.512%
2017-03-15T21:54:57Jocelyn Larouchelow 4M33602133602106---0.056--3.740%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.054--
2009-02-13T19:27:00Sturle Sundefizir.ifi260261--0.054--
2012-02-24T04:56:00Grant McCrackenthumper261262--0.109--
2013-01-10T10:21:00dbaughManual testing262263--0.348--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.696--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.325--
2016-02-12T10:12:11ramgeisManual testing265266--2.650--
2017-10-28T16:39:37Gordon SpenceManual testing26626766.576214.0940.4438.324


ECM factoring results:

Old Calculation Method

Total ECM effort:2.503 GHz-days
Estimated T-Level:1.200
DigitsB1CurvesCompleteFacMiss
201100024 / 1000.24078.568%
255000024 / 2800.08691.772%

New Calculation Method

Total ECM effort:2.503 GHz-days
Estimated T-Level:1.200
DigitsB1CompleteFacMiss
20110000.92339.729%
25500000.08591.814%
302500000.00599.463%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.503


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-07T00:00:00ANONYMOUSv4_computersDDF6493AC0B8EB4D0.218


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-29T05:11:35Oliver KruseGTX-2
109999736277745577489
E11C4AB55BAA75__no
2017-10-29T17:20:09YarBerManual testing
109999736277745577489
E11C4AB55BAA75__no


P-1 factor-bounds graph:
B1 = 336021, B2 = 3360210 (P-1 stage 2)
B1 = 336021 (P-1 stage 1)
B1 = 135041, B2 = 3630000 (P-1 stage 2)
B1 = 135041, B2 = 3300000 (P-1 stage 2)
B1 = 233349 (P-1 stage 1)
B1 = 194458 (P-1 stage 1)
B1 = 135041 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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102
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107
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
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290
2100
Last modified: 2017-10-29T17:20:09+00:00