is 2 2481277 - 1
has 746939 decimal digits
takes 0.172 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L24429FD14D838CCDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.021967.6471%2382500857701000.69657.5482%24.718470.0891%2.4421%
PrimeNet2590.030962.7119%100001800000.00192.5343%0.032963.6569%0.9450%
GPU722630.643265.0794%110001600000.00191.3800%0.645165.5613%0.4819%
Difference+5+23.3786+2.5677%+2371500+85610100+0.6946+6.1682%+24.0732+4.5279%+4.5279%

Known prime factors (1 factor, 69.7 bits, 0.00280897% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24812779578295041583410860312169.698193011401822195
5 × 11 × 41 × 47 × 1821119987
2020-07-1747182111998785.4029.97918.638

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.234%
2003-10-31T00:00:00Team Prime Ribv4_computers15000228750---0.003--0.785%
2010-11-20T12:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.263%
2011-01-21T02:21:00Oscar Östlin950001947500---0.020--2.378%
2014-09-02T00:10:00Jocelyn LaroucheManual testing120867120867---0.012--0.917%
2014-11-02T09:11:00mikrMSI238250085770100---0.697--7.548%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:15Mark RoseManual testing259260--0.031--
2009-01-15T19:38:00Sturle Sundescarpia.ifi260261--0.062--
2012-06-09T07:43:00Sebastian HornbostelManual testing261262--0.124--
2013-08-21T03:34:00David CampeauManual testing262263--0.396--
2015-03-03T21:37:00VictordeHollanderManual testing263264--0.791--
2015-03-03T21:37:00VictordeHollanderManual testing264265--1.506--
2015-10-29T11:36:22ramgeisManual testing265266--3.012--
2017-07-22T20:28:37Gordon SpenceManual testing266267--6.023--
2019-07-17T09:51:50TJAOIManual testing267268--12.05--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.143 GHz-days
Estimated T-Level:2.800
DigitsB1CurvesCompleteFacMiss
201100056 / 1000.56056.960%
255000056 / 2800.20081.844%

New Calculation Method

Total ECM effort:5.143 GHz-days
Estimated T-Level:2.800
DigitsB1CompleteFacMiss
20110001.80616.424%
25500000.16384.937%
302500000.01099.000%


ECM Summary

B1B2factorcurvesGHz-days
500005000000544.959
50000500000020.184


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computers24429FD14D838CCD0.172
2018-05-30T10:48:05kkmrkkblmbrbkold24429FD14D838CCD0.172


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-18T02:34:55CrypticCluecruncher
957829504158341086031
AB2718A210ED3D43no
2020-07-22T15:26:27nordisweet16
957829504158341086031
AB2718A210ED3D43no


P-1 factor-bounds graph:
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 2382500 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 120867 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (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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100
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1010
TF factor-bounds graph:
268
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266
265
264
263
262
261
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2100
Last modified: 2020-07-22T15:26:27+00:00