is 2 2365243 - 1
has 712010 decimal digits
takes 0.160 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8B1B237CF99F844Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.562767.1642%30000001000000000.81158.4943%13.374369.9534%2.7892%
PrimeNet2590.032562.7119%100001700000.00182.4728%0.034363.6339%0.9221%
GPU722630.674865.0794%100001400000.00171.2710%0.676565.5232%0.4438%
Difference+4+11.8880+2.0848%+2990000+99860000+0.8099+7.2233%+12.6978+4.4301%+4.4301%

Known prime factors (1 factor, 98.9 bits, 0.00417960% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23652435742919982675390072314355343133098.858121402324891678996033692
22 × 3 × 31 × 41 × 241183 × 2974123 × 11096719
2015-09-092974123110967195.188e+100.33470.5929

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.286%
2010-11-03T21:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.310%
2010-12-30T23:35:00markrtiny1000002025000---0.020--2.711%
2014-09-10T00:51:00Jocelyn LaroucheManual testing127136127136---0.012--1.074%
2015-09-09T03:42:00mikrMSI3000000100000000123098.8580.8120.3201.6238.494%
2018-04-27T11:59:51alpertronManual testing20000006000000012---0.505--7.604%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-01T00:00:00ANONYMOUSv4_computers21259--0.032--
2022-03-09T16:37:53LordJuliusManual testing21260--0.065--
2009-01-14T07:02:00Sturle Sunderodolfo.ifi260261--0.065--
2012-05-30T18:43:00Sebastian HornbostelManual testing261262--0.130--
2013-12-04T21:14:00Jerry HallettManual testing262263--0.415--
2015-03-09T12:35:00VictordeHollanderManual testing263264--0.830--
2015-03-09T12:35:00VictordeHollanderManual testing264265--1.580--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.332 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.332 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.332


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computers8B1B237CF99F844D0.160


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-12T10:58:24Oliver KruseGTX-2725CC840C18619__no
2017-11-24T20:36:04Gordon Spencehaswell
574291998267539007231435534313
725CC840C18619__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 100000, B2 = 2025000 (P-1 stage 2)
B1 = 127136 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 20000 (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
TF factor-bounds graph:
267
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2022-03-09T16:37:53+00:00