is 2 2543249 - 1
has 765595 decimal digits
takes 0.176 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCACCCD5517D7F2FBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.436567.6471%30000001350000001.02508.2626%24.461570.3202%2.6732%
PrimeNet2590.030262.7119%110002000000.00212.6839%0.032363.7127%1.0008%
GPU722630.627665.0794%120001800000.00211.4772%0.629765.5952%0.5159%
Difference+5+22.8090+2.5677%+2988000+134820000+1.0229+6.7853%+23.8318+4.7250%+4.7250%

Known prime factors (1 factor, 73.5 bits, 0.00288984% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2543249133172603283904161159432373.4962618158962883779
34 × 7 × 4617564308437
2020-07-01814617564308437953.8525,30247,257

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.236%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.755%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.265%
2011-01-03T01:02:00Jocelyn LaroucheManual testing3000030000---0.003--0.366%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.531%
2011-02-28T16:45:00James Heinrichi7-9203000008000000---0.072--3.959%
2018-08-13T10:35:02Jocelyn Larouchelow 4M60000060000006---0.090--4.048%
2018-09-19T11:40:17mikrMSI300000013500000012---1.025--8.263%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-31T15:27:00Sturle Sundeaalto.ifi260261--0.060--
2012-06-15T13:43:00Sebastian HornbostelManual testing261262--0.121--
2013-01-14T11:53:00dbaughManual testing262263--0.386--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.772--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.469--
2015-11-08T21:03:14ramgeisManual testing265266--2.938--
2017-08-08T13:42:10Gordon SpenceManual testing266267--5.877--
2019-04-08T13:40:33TJAOIManual testing267268--11.75--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.779 GHz-days
Estimated T-Level:2.050
DigitsB1CurvesCompleteFacMiss
201100041 / 1000.41066.228%
255000041 / 2800.14686.356%

New Calculation Method

Total ECM effort:3.779 GHz-days
Estimated T-Level:2.050
DigitsB1CompleteFacMiss
20110001.32326.645%
25500000.12088.733%
302500000.00799.267%


ECM Summary

B1B2factorcurvesGHz-days
500005000000393.595
50000500000020.184


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00ANONYMOUSv4_computersCACCCD5517D7F2FB0.176
2018-06-10T10:37:18kkmrkkblmbrbkoldCACCCD5517D7F2FB0.176


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-02T12:45:25mrh.orgw
13317260328390416115943
D9DD30CCA8C23FE5no
2020-07-03T09:46:41marssystemssystem03
13317260328390416115943
D9DD30CCA8C23FE5no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 135000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (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)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2020-07-03T09:46:41+00:00