is 2 2444473 - 1
has 735860 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-LEB456C23C0F1BB13double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.383567.6471%60000001800000001.51649.0087%25.899970.5616%2.9146%
PrimeNet2590.031462.7119%100001800000.00192.5272%0.033363.6542%0.9423%
GPU722630.652965.0794%100001500000.00171.3070%0.654665.5358%0.4564%
Difference+5+23.7306+2.5677%+5990000+179850000+1.5146+7.7017%+25.2452+5.0259%+5.0259%

Known prime factors (1 factor, 74.1 bits, 0.00303298% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2444473208181875713424932109692374.1404258215895888908
22 × 32 × 130523 × 906229361
2020-07-151305239062293612,983.94.84859.0331

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.233%
2003-10-31T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.771%
2010-11-17T22:12:00Jocelyn LaroucheManual testing2000020000---0.002--0.262%
2011-01-18T17:07:00Oscar Östlin950001947500---0.019--2.373%
2014-01-22T18:11:00mikrMSI117200048000000---0.365--6.434%
2019-03-23T20:28:40Sid & AndyBullseye600000018000000012---1.516--9.009%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:14Mark RoseManual testing259260--0.031--
2009-01-15T01:53:00Sturle Sundegollumilla.ifi260261--0.063--
2011-10-03T08:19:00Sebastian HornbostelManual testing261262--0.126--
2013-12-04T21:13:00Jerry HallettManual testing262263--0.402--
2015-02-27T20:41:00VictordeHollanderManual testing263264--0.803--
2015-02-27T20:41:00VictordeHollanderManual testing264265--1.528--
2015-10-25T20:35:03ramgeisManual testing265266--3.057--
2017-07-12T11:35:14Gordon SpenceManual testing266267--6.114--
2019-04-08T13:40:34TJAOIManual testing267268--12.23--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.355 GHz-days
Estimated T-Level:3.000
DigitsB1CurvesCompleteFacMiss
201100060 / 1000.60054.716%
255000060 / 2800.21480.681%

New Calculation Method

Total ECM effort:5.355 GHz-days
Estimated T-Level:3.000
DigitsB1CompleteFacMiss
20110001.93514.435%
25500000.17583.952%
302500000.01198.929%


ECM Summary

B1B2factorcurvesGHz-days
500005000000575.087
50000500000030.268


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00ANONYMOUSv4_computersEB456C23C0F1BB130.165
2018-05-24T20:07:30kkmrkkblmbrbkoldEB456C23C0F1BB130.165


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-14T16:21:30MarkSlaptop64
20818187571342493210969
F209A77EDD9F0939no
2020-07-15T13:46:30marssystemssystem03
20818187571342493210969
F209A77EDD9F0939no


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 1172000, B2 = 48000000 (P-1 stage 2)
B1 = 1172000 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (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)
102
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105
106
107
102
103
104
105
106
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108
109
TF factor-bounds graph:
268
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266
265
264
263
262
261
260
259
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260
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2100
Last modified: 2020-07-15T13:46:30+00:00