is 2 2461709 - 1
has 741049 decimal digits
takes 0.171 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF17325BED7FD8D2Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.212867.6471%2382500857701000.69657.5421%24.909370.0872%2.4401%
PrimeNet2590.031262.7119%100001800000.00192.5305%0.033163.6555%0.9436%
GPU722630.648365.0794%100001600000.00181.3347%0.650265.5454%0.4661%
Difference+5+23.5645+2.5677%+2372500+85610100+0.6947+6.2075%+24.2592+4.5417%+4.5417%

Known prime factors (1 factor, 73.2 bits, 0.00297372% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2461709108817725691378736811912373.2042210206927207455
32 × 5 × 11 × 797 × 5602339397
2020-07-1379756023393971,415.430.69857.336

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_computers15000232500---0.003--0.788%
2010-11-19T22:14:00Jocelyn LaroucheManual testing2000020000---0.002--0.263%
2011-01-20T13:54:00Oscar Östlin950001947500---0.020--2.375%
2014-09-02T00:10:00Jocelyn LaroucheManual testing121073121073---0.012--0.917%
2014-10-14T23:30:00mikrMSI238250085770100---0.697--7.542%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-16T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:14Mark RoseManual testing259260--0.031--
2009-01-13T11:39:00Sturle Sundecorbusier.ifi260261--0.062--
2012-07-24T10:05:00Grant McCrackenthumper261262--0.125--
2013-01-23T08:28:00dbaughManual testing262263--0.399--
2015-03-03T21:37:00VictordeHollanderManual testing263264--0.798--
2015-03-03T21:37:00VictordeHollanderManual testing264265--1.518--
2015-10-26T11:51:00ramgeisManual testing265266--3.036--
2017-07-15T13:17:46Gordon SpenceManual testing266267--6.071--
2019-07-01T11:11:01TJAOIManual testing267268--12.14--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.045 GHz-days
Estimated T-Level:2.750
DigitsB1CurvesCompleteFacMiss
201100055 / 1000.55057.535%
255000055 / 2800.19682.137%

New Calculation Method

Total ECM effort:5.045 GHz-days
Estimated T-Level:2.750
DigitsB1CompleteFacMiss
20110001.77416.962%
25500000.16085.185%
302500000.01099.017%


ECM Summary

B1B2factorcurvesGHz-days
500005000000544.953
50000500000010.092


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00ANONYMOUSv4_computersF17325BED7FD8D2F0.171
2018-05-27T03:48:02kkmrkkblmbrbkoldF17325BED7FD8D2F0.171


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-13T10:56:21CrypticClueManual testing
10881772569137873681191
EF825C00AF08A4DAno
2020-07-14T08:56:49marssystemsSYSTEM01
10881772569137873681191
EF825C00AF08A4DAno


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 = 121073 (P-1 stage 1)
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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101
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1010
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: 2020-07-14T08:56:49+00:00