is 2 2665469 - 1
has 802387 decimal digits
takes 0.206 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L903F5472F1310AC3double-checked
PRPA9AE7C76FA338727verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26944.790268.1159%2000000500000000.51696.2967%45.307070.1236%2.0076%
PrimeNet2590.028862.7119%110002000000.00242.7072%0.031263.7213%1.0095%
GPU722630.598865.0794%130002200000.00271.6206%0.601565.6453%0.5659%
Difference+6+44.1914+3.0366%+1987000+49780000+0.5141+4.6761%+44.7055+4.4783%+4.4783%

Known prime factors (1 factor, 84.7 bits, 0.00317635% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2665469306623933148577694344419192684.6655751782015633603211
3 × 1917260671877867737
2021-07-14319172606718778677372,459,6301.170e+102.185e+10

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.193%
2003-11-28T00:00:00Team Prime Ribv4_computers15000213750---0.003--0.666%
2010-12-21T22:27:00Jocelyn LaroucheManual testing2000020000---0.002--0.224%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.313%
2011-02-03T14:53:00markrtiny1050002283750---0.025--2.261%
2014-11-06T23:05:00Jocelyn LaroucheManual testing129080129080---0.014--0.839%
2016-06-08T10:37:13Jocelyn LaroucheManual testing15198845675006---0.044--2.847%
2016-12-18T19:43:07Jocelyn Larouchelow 4M182385182385---0.020--1.018%
2017-01-10T10:25:00Jocelyn Larouchelow 4M218862218862---0.025--1.121%
2017-03-07T20:00:33Jocelyn Larouchelow 4M31516031516006---0.053--2.935%
2018-08-29T01:29:37Jocelyn Larouchelow 4M626630626630---0.070--1.840%
2018-08-30T21:10:20Jocelyn Larouchelow 4M630320630320---0.071--1.845%
2018-09-03T21:22:18Jocelyn Larouchelow 4M6303201260640---0.074--2.405%
2018-09-04T10:43:06Jocelyn Larouchelow 4M6303201890960---0.078--2.737%
2018-09-07T21:01:40Jocelyn Larouchelow 4M6303202521280---0.082--2.975%
2019-11-22T14:04:09masserManual testing20000005000000012---0.517--6.297%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-13T00:00:00JG12v4_computers21259--0.029--
2016-02-23T16:29:18Mark RoseManual testing259260--0.029--
2009-01-30T17:20:00Sturle Sundegolli.ifi260261--0.058--
2012-05-20T15:25:00markroldgamer261262--0.115--
2013-01-14T11:57:00dbaughManual testing262263--0.368--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.737--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.402--
2016-01-25T14:29:34ramgeisManual testing265266--2.804--
2017-09-08T08:21:19Gordon SpenceManual testing266267--5.607--
2019-04-29T13:20:18TJAOIManual testing267268--11.21--
2021-06-21T08:53:42TJAOIManual testing268269--22.43--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.371 GHz-days
Estimated T-Level:21.964
DigitsB1CurvesCompleteFacMiss
2011000110 / 1001.10033.103%
2550000110 / 2800.39367.465%

New Calculation Method

Total ECM effort:11.371 GHz-days
Estimated T-Level:21.964
DigitsB1CompleteFacMiss
20110003.5482.877%
25500000.32172.564%
302500000.02098.045%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010811.16
50000500000020.207


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-25T00:00:00JG12v4_computers903F5472F1310AC30.206
1997-12-13T00:00:00JG12v4_computers903F5472F1310AC30.206
1999-05-02T00:00:00ANONYMOUSv4_computers903F5472F1310AC30.206
2018-07-23T03:44:58kkmrkkblmbrbkold903F5472F1310AC30.206


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-14T18:37:45SRJ2877LTOS
30662393314857769434441919
A9AE7C76FA338727no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 630320, B2 = 2521280 (P-1 stage 2)
B1 = 630320, B2 = 1890960 (P-1 stage 2)
B1 = 630320, B2 = 1260640 (P-1 stage 2)
B1 = 630320 (P-1 stage 1)
B1 = 626630 (P-1 stage 1)
B1 = 315160, B2 = 3151600 (P-1 stage 2)
B1 = 151988, B2 = 4567500 (P-1 stage 2)
B1 = 315160 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 218862 (P-1 stage 1)
B1 = 182385 (P-1 stage 1)
B1 = 151988 (P-1 stage 1)
B1 = 129080 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 213750 (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
1014
1015
1016
1017
1018
1019
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2021-07-14T18:37:45+00:00