is 2 2493587 - 1
has 750645 decimal digits
takes 0.173 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L792933B23D200CC2double-checked
PRP65F19120B90151D4verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.903367.6471%30000001000000000.83327.8766%24.736570.1954%2.5483%
PrimeNet2590.030862.7119%100001800000.00192.5367%0.032763.6577%0.9459%
GPU722630.640065.0794%110001600000.00191.3814%0.642065.5617%0.4824%
Difference+5+23.2632+2.5677%+2989000+99840000+0.8313+6.4953%+24.0945+4.6336%+4.6336%

Known prime factors (1 factor, 68.1 bits, 0.00273075% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24935873149630045826049373532168.09463154605109548
22 × 3 × 251 × 20967664379
2020-10-272512096766437942.834114.89214.59

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.235%
2003-10-31T00:00:00Team Prime Ribv4_computers15000228750---0.003--0.786%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.263%
2011-01-24T05:55:00Oscar Östlin950001971250---0.020--2.387%
2014-09-10T00:51:00Jocelyn LaroucheManual testing120740120740---0.012--0.917%
2014-12-03T06:59:00mikrMSI238250085770100---0.697--7.552%
2015-12-24T13:33:27mikrMSI300000010000000012---0.833--7.877%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-16T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:15Mark RoseManual testing259260--0.031--
2009-01-11T09:41:00Sturle Sundegoose.ifi260261--0.062--
2012-06-11T10:43:00Sebastian HornbostelManual testing261262--0.123--
2013-12-04T21:13:00Jerry HallettManual testing262263--0.394--
2015-03-03T21:37:00VictordeHollanderManual testing263264--0.787--
2015-03-03T21:37:00VictordeHollanderManual testing264265--1.498--
2015-10-31T16:44:06ramgeisManual testing265266--2.997--
2017-07-24T22:21:29Gordon SpenceManual testing266267--5.994--
2019-04-15T13:43:02TJAOIManual testing267268--11.99--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.076 GHz-days
Estimated T-Level:3.850
DigitsB1CurvesCompleteFacMiss
201100077 / 1000.77046.122%
255000077 / 2800.27575.920%

New Calculation Method

Total ECM effort:7.076 GHz-days
Estimated T-Level:3.850
DigitsB1CompleteFacMiss
20110002.4848.342%
25500000.22479.892%
302500000.01498.627%


ECM Summary

B1B2factorcurvesGHz-days
500005000000736.709
50000500000040.368


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-10T00:00:00ANONYMOUSv4_computers792933B23D200CC20.173
2018-06-01T07:35:03kkmrkkblmbrbkold792933B23D200CC20.173


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-27T14:14:46mrhp
314963004582604937353
65F19120B90151D4no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2382500 (P-1 stage 1)
B1 = 95000, B2 = 1971250 (P-1 stage 2)
B1 = 120740 (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)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2020-10-27T14:14:46+00:00