is 2 2441773 - 1
has 735047 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-L1685D61B10A55666double-checked
PRP4324F19F2784F8DBverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.410567.6471%1172000480000000.36476.4333%24.775269.7284%2.0814%
PrimeNet2590.031562.7119%100001800000.00192.5267%0.033363.6540%0.9421%
GPU722630.653665.0794%100001500000.00171.3067%0.655465.5357%0.4563%
Difference+5+23.7569+2.5677%+1162000+47850000+0.3630+5.1266%+24.1199+4.1927%+4.1927%

Known prime factors (1 factor, 75.5 bits, 0.00309080% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2441773523374714449201526924792375.47010717104219950043
32 × 17 × 239 × 881 × 332668909
2020-11-298813326689095,374.21.77553.3160

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%
2011-01-12T12:43:00Oscar Östlin950001947500---0.019--2.372%
2014-01-19T13:34:00mikrMSI117200048000000---0.365--6.433%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:14Mark RoseManual testing259260--0.031--
2009-01-15T00:09:00Sturle Sundehomilius.ifi260261--0.063--
2012-06-06T17:42:00Sebastian HornbostelManual testing261262--0.126--
2013-12-04T21:13:00Jerry HallettManual testing262263--0.402--
2015-02-27T20:41:00VictordeHollanderManual testing263264--0.804--
2015-02-27T20:41:00VictordeHollanderManual testing264265--1.530--
2015-10-25T20:35:02ramgeisManual testing265266--3.060--
2017-07-12T11:35:13Gordon SpenceManual testing266267--6.121--
2019-04-22T13:11:33TJAOIManual testing267268--12.24--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.745 GHz-days
Estimated T-Level:4.900
DigitsB1CurvesCompleteFacMiss
201100098 / 1000.98037.346%
255000098 / 2800.35070.425%

New Calculation Method

Total ECM effort:8.745 GHz-days
Estimated T-Level:4.900
DigitsB1CompleteFacMiss
20110003.7692.307%
25500000.34970.557%
302500000.02297.824%
3510000000.00199.897%


ECM Summary

B1B2factorcurvesGHz-days
500005000000938.299
50000500000050.446


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-14T00:00:00ANONYMOUSv4_computers1685D61B10A556660.165
2018-05-24T10:54:54kkmrkkblmbrbkold1685D61B10A556660.165


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-29T16:30:58mrhlanai
52337471444920152692479
4324F19F2784F8DBno


P-1 factor-bounds graph:
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)
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TF factor-bounds graph:
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Last modified: 2020-11-29T16:30:58+00:00