is 2 2167471 - 1
has 652474 decimal digits
takes 0.143 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA626C5190112811Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.499767.6471%50000002000000001.48968.9446%28.989370.5409%2.8939%
PrimeNet2580.017762.0690%100001800000.00182.8552%0.019663.1520%1.0830%
GPU722620.283464.5161%110001600000.00181.5669%0.285365.0721%0.5560%
Difference+6+27.2163+3.1309%+4989000+199840000+1.4877+7.3777%+28.7040+5.4688%+5.4688%

Known prime factors (1 factor, 87.8 bits, 0.00404926% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21674712632369325963132896459661692787.76660724441664112989204
22 × 13 × 71 × 2273 × 15193 × 476276183
2020-03-141519347627618322,110,3282.47534.6206

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%
2011-01-15T16:05:00Jocelyn LaroucheManual testing5000050000---0.005--0.513%
2011-01-21T10:49:00markrtiny1350002868750---0.027--2.730%
2016-05-02T01:23:02Jocelyn LaroucheManual testing270000993405312---0.076--3.985%
2017-10-04T07:45:19Jocelyn Larouchelow 4M54000054000006---0.077--3.833%
2017-11-14T02:08:18Jocelyn Larouchelow 4M6480001092745812---0.115--4.548%
2019-10-24T20:33:22mikrMSI500000020000000012---1.490--8.945%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.053--
2009-01-04T17:03:00Sturle Sundehomilius.ifi260261--0.071--
2009-01-07T14:33:00Sturle Sundegonzo.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--1.724--
2015-12-30T18:01:39ramgeisManual testing265266--3.448--
2016-11-11T01:20:37Gordon SpenceManual testing266267--6.895--
2019-05-06T12:23:34TJAOIManual testing267268--13.79--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.383 GHz-days
Estimated T-Level:3.150
DigitsB1CurvesCompleteFacMiss
201100063 / 1000.63053.091%
255000063 / 2800.22579.819%

New Calculation Method

Total ECM effort:5.383 GHz-days
Estimated T-Level:3.150
DigitsB1CompleteFacMiss
20110002.03213.104%
25500000.18483.221%
302500000.01198.875%


ECM Summary

B1B2factorcurvesGHz-days
500005000000605.127
50000500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computersA626C5190112811B0.143
2018-04-11T16:47:59kkmrkkblmbrbkoldA626C5190112811B0.143


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-15T13:49:47Christoph ZengerManual testing
263236932596313289645966169
8C6D0708067C009Dno
2020-03-27T14:35:09AbsolutXTR750D
263236932596313289645966169
8C6D0708067C009Dno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 648000, B2 = 10927458 (P-1 stage 2)
B1 = 540000, B2 = 5400000 (P-1 stage 2)
B1 = 270000, B2 = 9934053 (P-1 stage 2)
B1 = 648000 (P-1 stage 1)
B1 = 540000 (P-1 stage 1)
B1 = 135000, B2 = 2868750 (P-1 stage 2)
B1 = 270000 (P-1 stage 1)
B1 = 135000 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-07-31T15:44:49+00:00