is 2 2356451 - 1
has 709363 decimal digits
takes 0.159 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L17C245EC01F711F8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.294367.6471%30000001000000000.81157.8326%26.105970.1811%2.5341%
PrimeNet2580.016362.0690%110002000000.00213.0502%0.018463.2259%1.1570%
GPU722620.260764.5161%130002200000.00241.8365%0.263165.1678%0.6517%
Difference+6+25.0336+3.1309%+2987000+99780000+0.8092+5.9961%+25.8428+5.0133%+5.0133%

Known prime factors (1 factor, 79.4 bits, 0.00336763% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23564517738753803334611296707432479.356164203579945744921
31 × 26669 × 198615983939
2020-07-232666919861598393999,2011,060.01,979.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2010-11-04T00:49:00Jocelyn LaroucheManual testing2000020000---0.002--0.260%
2010-12-06T01:17:00Oscar Östlin7501175011---0.007--0.682%
2011-01-23T05:07:00Oscar Östlin900001822500---0.018--2.296%
2014-08-07T10:52:00Jocelyn LaroucheManual testing117238117238---0.011--0.893%
2014-10-22T23:53:00Jocelyn LaroucheManual testing144476144476---0.014--1.004%
2015-08-07T08:07:00mikrMSI3000000100000000---0.812--7.833%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:12Mark RoseManual testing21260--0.065--
2009-01-16T04:25:00Sturle Sundekinner.ifi260261--0.065--
2012-05-29T18:43:00Sebastian HornbostelManual testing261262--0.130--
2013-12-04T21:14:00Jerry HallettManual testing262263--0.417--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.833--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.586--
2015-10-28T09:42:39ramgeisManual testing265266--3.171--
2017-06-13T16:34:54Gordon SpenceManual testing266267--6.342--
2019-04-29T13:20:25TJAOIManual testing267268--12.68--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.570 GHz-days
Estimated T-Level:3.700
DigitsB1CurvesCompleteFacMiss
201100074 / 1000.74047.534%
255000074 / 2800.26476.739%

New Calculation Method

Total ECM effort:6.570 GHz-days
Estimated T-Level:3.700
DigitsB1CompleteFacMiss
20110002.3879.190%
25500000.21680.594%
302500000.01398.680%


ECM Summary

B1B2factorcurvesGHz-days
500005000000726.393
50000500000020.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00PhillTv4_computers17C245EC01F711F80.159


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-23T19:22:06pew10980xe_1
773875380333461129670743
2E180636CAF003E8no
2020-07-24T18:49:30marssystemssystem11
773875380333461129670743
2E180636CAF003E8no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 90000, B2 = 1822500 (P-1 stage 2)
B1 = 144476 (P-1 stage 1)
B1 = 117238 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 75011 (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
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-07-24T18:49:30+00:00