is 2 2165893 - 1
has 651999 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB5B305D8C27F0107double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.519867.6471%25000001250000000.87467.9227%28.394470.2103%2.5632%
PrimeNet2580.017762.0690%100001800000.00182.8549%0.019663.1518%1.0829%
GPU722620.283764.5161%100001600000.00171.5201%0.285465.0555%0.5394%
Difference+6+27.2361+3.1309%+2490000+124840000+0.8729+6.4026%+28.1090+5.1548%+5.1548%

Known prime factors (1 factor, 69.2 bits, 0.00319665% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21658936952168139449659442792169.236160491957346223
160491957346223
2020-07-21116049195734622361.131833,6351,556,999

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-11-03T21:28:00Jocelyn LaroucheManual testing2000020000---0.002--0.255%
2010-12-30T22:21:00Jocelyn LaroucheManual testing3000030000---0.003--0.354%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.513%
2011-01-21T21:16:00markrtiny1200002370000---0.023--2.555%
2014-10-05T22:22:00Jocelyn LaroucheManual testing149634149634---0.014--1.008%
2016-03-04T02:35:06Jocelyn LaroucheManual testing22445040401006---0.041--3.211%
2017-09-05T23:15:04Jocelyn Larouchelow 4M44890044890006---0.064--3.601%
2018-01-06T22:35:36mikrMSI250000012500000012---0.875--7.923%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.053--
2009-01-04T18:23:00Sturle Sundemorovan.ifi260261--0.071--
2009-01-07T22:04:00Sturle Sundehomilius.ifi261262--0.142--
2013-09-08T17:50:00ramgeisManual testing262263--0.453--
2015-03-25T10:09:00VictordeHollanderManual testing263264--0.906--
2015-03-25T10:09:00VictordeHollanderManual testing264265--1.725--
2015-12-30T18:01:38ramgeisManual testing265266--3.450--
2016-11-11T01:20:36Gordon SpenceManual testing266267--6.900--
2019-05-06T12:23:34TJAOIManual testing267268--13.80--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.287 GHz-days
Estimated T-Level:4.850
DigitsB1CurvesCompleteFacMiss
201100097 / 1000.97037.724%
255000097 / 2800.34670.677%

New Calculation Method

Total ECM effort:8.287 GHz-days
Estimated T-Level:4.850
DigitsB1CompleteFacMiss
20110003.1294.376%
25500000.28375.367%
302500000.01798.274%


ECM Summary

B1B2factorcurvesGHz-days
500005000000968.202
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computersB5B305D8C27F01070.142
2018-04-11T10:26:24kkmrkkblmbrbkoldB5B305D8C27F01070.142


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-20T12:56:24CrypticClueManual testing
695216813944965944279
E78BB5AEDC9C7253no
2020-07-21T10:39:19marssystemssystem03
695216813944965944279
E78BB5AEDC9C7253no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 448900, B2 = 4489000 (P-1 stage 2)
B1 = 448900 (P-1 stage 1)
B1 = 224450, B2 = 4040100 (P-1 stage 2)
B1 = 120000, B2 = 2370000 (P-1 stage 2)
B1 = 224450 (P-1 stage 1)
B1 = 149634 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-07-21T10:39:19+00:00