is 2 2562323 - 1
has 771337 decimal digits
takes 0.178 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6A30A7B160B5FE63double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.596567.1642%32000001120000000.91808.7479%12.514570.0366%2.8724%
PrimeNet2590.030062.7119%110002000000.00212.6876%0.032163.7140%1.0022%
GPU722630.622965.0794%120001800000.00211.4794%0.625065.5960%0.5166%
Difference+4+10.9736+2.0848%+3188000+111820000+0.9159+7.2685%+11.8895+4.4406%+4.4406%

Known prime factors (1 factor, 90.3 bits, 0.00352433% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
256232315290361848539873690694203272890.305298369133176025694081
3 × 13 × 23 × 37 × 137 × 2272729 × 28872973
2016-05-04227272928872973146,596,2120.37430.4652

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.293%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.885%
2010-12-21T01:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.316%
2011-01-03T14:36:00Jocelyn LaroucheManual testing3000030000---0.003--0.433%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.620%
2011-04-13T09:13:00James HeinrichWHS1750004068750---0.039--3.531%
2016-05-04T16:21:06mikrMSI3200000112000000122890.3050.9180.3551.8368.748%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-31T21:42:00Sturle Sundegouffy.ifi260261--0.060--
2012-06-17T09:42:00Sebastian HornbostelManual testing261262--0.120--
2013-01-14T11:55:00dbaughManual testing262263--0.383--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.766--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.458--
2015-11-08T21:03:00ramgeisManual testing265266--2.916--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.661 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.661 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.661


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers6A30A7B160B5FE630.178


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-15T02:00:32Oliver KruseGTX-0
1529036184853987369069420327
84F5B1EBA38C3D__no
2017-12-01T17:52:00kkmrkkblmbrbkc4.xlarge
1529036184853987369069420327
84F5B1EBA38C3D__no


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4068750 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (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
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2017-12-01T17:52:00+00:00