is 2 2624957 - 1
has 790191 decimal digits
takes 0.203 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE7656D7CBC7C7251double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.707067.6471%2630000263000000.43906.2211%23.146069.6598%2.0127%
PrimeNet2590.029362.7119%110002000000.00242.6996%0.031663.7185%1.0066%
GPU722630.608065.0794%130002000000.00261.5718%0.610665.6283%0.5489%
Difference+5+22.0990+2.5677%+2617000+26100000+0.4364+4.6492%+22.5353+4.0315%+4.0315%

Known prime factors (1 factor, 97.7 bits, 0.00372073% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26249572516913018839627901039514203193097.66847941985694234760817787
33 × 7 × 29 × 1652419 × 5293416124033
2020-08-04165241952934161240331.595e+1032,29960,325

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.238%
2003-11-08T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.782%
2010-12-21T22:27:00Jocelyn LaroucheManual testing2000020000---0.002--0.267%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.369%
2011-01-19T23:50:00Jocelyn LaroucheManual testing5000050000---0.006--0.534%
2011-04-20T22:19:00James HeinrichWHS1750004243750---0.044--3.204%
2016-12-24T02:28:33Jocelyn Larouchelow 4M149299149299---0.017--1.042%
2016-12-24T22:38:21Jocelyn Larouchelow 4M179158179158---0.020--1.149%
2016-12-26T22:14:21Jocelyn Larouchelow 4M214989214989---0.024--1.262%
2017-04-22T17:25:09Jocelyn Larouchelow 4M35000035000006---0.058--3.385%
2019-10-14T15:57:37masserManual testing26300002630000012---0.439--6.221%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-07T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:17Mark RoseManual testing259260--0.029--
2009-02-01T05:26:00Sturle Sundeeames.ifi260261--0.059--
2012-06-15T06:50:00markroldgamer261262--0.117--
2013-01-14T11:57:00dbaughManual testing262263--0.374--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.748--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.423--
2016-01-18T09:58:44ramgeisManual testing265266--2.847--
2017-09-01T23:24:07Gordon SpenceManual testing266267--5.694--
2019-04-08T13:40:32TJAOIManual testing267268--11.39--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.744 GHz-days
Estimated T-Level:2.300
DigitsB1CurvesCompleteFacMiss
201100046 / 1000.46062.982%
255000046 / 2800.16484.825%

New Calculation Method

Total ECM effort:4.744 GHz-days
Estimated T-Level:2.300
DigitsB1CompleteFacMiss
20110001.48422.676%
25500000.13487.449%
302500000.00899.178%


ECM Summary

B1B2factorcurvesGHz-days
500005000000454.641
50000500000010.103


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00ANONYMOUSv4_computersE7656D7CBC7C72510.203
2018-07-08T16:46:53kkmrkkblmbrbkoldE7656D7CBC7C72510.203


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-04T15:16:28CrypticCluecruncher
251691301883962790103951420319
3CF4A58C327B05F1no
2020-08-04T15:59:28ATHec2-PRPCFDC
251691301883962790103951420319
3CF4A58C327B05F1no


P-1 factor-bounds graph:
B1 = 2630000, B2 = 26300000 (P-1 stage 2)
B1 = 2630000 (P-1 stage 1)
B1 = 350000, B2 = 3500000 (P-1 stage 2)
B1 = 175000, B2 = 4243750 (P-1 stage 2)
B1 = 350000 (P-1 stage 1)
B1 = 214989 (P-1 stage 1)
B1 = 179158 (P-1 stage 1)
B1 = 175000 (P-1 stage 1)
B1 = 149299 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (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
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: 2020-08-04T15:59:28+00:00