is 2 2454719 - 1
has 738945 decimal digits
takes 0.170 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LED1C7B40E0017DB1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.104867.1642%2000000600000000.51907.6329%12.623869.6705%2.5063%
PrimeNet2590.031362.7119%100001800000.00192.5292%0.033263.6549%0.9431%
GPU722630.650265.0794%100001600000.00181.3339%0.652065.5452%0.4658%
Difference+4+11.4546+2.0848%+1990000+59840000+0.5171+6.2990%+11.9718+4.1253%+4.1253%

Known prime factors (1 factor, 73.7 bits, 0.00300231% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2454719153244891889322627031372373.6983121434508172272
24 × 157 × 1242609278731
2018-05-271571242609278731828.516,808.912,717

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.289%
2003-10-31T00:00:00Team Prime Ribv4_computers15000232500---0.003--0.921%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.313%
2011-01-20T01:59:00Oscar Östlin950001947500---0.020--2.675%
2014-02-11T06:11:00mikrMSI310282243439508---0.533--7.453%
2018-09-28T17:01:14alpertronManual testing20000006000000012---0.519--7.633%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-07T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:14Mark RoseManual testing259260--0.031--
2009-01-16T18:13:00Sturle Sundeczerny.ifi260261--0.063--
2012-06-07T12:43:00Sebastian HornbostelManual testing261262--0.125--
2013-12-04T21:13:00Jerry HallettManual testing262263--0.400--
2015-03-03T21:37:00VictordeHollanderManual testing263264--0.800--
2015-03-03T21:37:00VictordeHollanderManual testing264265--1.522--
2015-10-25T20:35:06ramgeisManual testing265266--3.044--
2017-07-14T10:08:13Gordon SpenceManual testing266267--6.088--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.026 GHz-days
Estimated T-Level:1.650
DigitsB1CurvesCompleteFacMiss
201100033 / 1000.33071.773%
255000033 / 2800.11888.864%

New Calculation Method

Total ECM effort:3.026 GHz-days
Estimated T-Level:1.650
DigitsB1CompleteFacMiss
20110001.06534.489%
25500000.09690.827%
302500000.00699.409%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.751
50000500000030.275


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-03-28T21:06:00MadPooManual testingED1C7B40E0017DB10.170


PRP results:
dateuseridcompidcofactorsres64PRP
2018-05-29T11:56:17Oliver KruseGTX-4
15324489188932262703137
038ED74E679D21__no
2018-05-30T00:39:21kkmrkkblmbrbkc5.large
15324489188932262703137
038ED74E679D21__no


P-1 factor-bounds graph:
B1 = 3102822, B2 = 43439508 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 3102822 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 232500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2018-09-28T17:01:14+00:00