is 2 2353817 - 1
has 708570 decimal digits
takes 0.159 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L55BF19EAB088644Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.623767.1642 %30000001000000000.81158.4903 %13.435369.9520 %
Target2620.261064.5161 %1300011000000.00711.8361 %0.268165.1676 %
Difference+5+12.3627+2.6481 %+2987000+98900000+0.8045+6.6542%+13.1672+4.7844 %

Known prime factors (1 factor, 74.2 bits, 0.00315275% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2353817218479265101554203430172374.2104640956903224724
22 × 17 × 68249366223893
2016-02-1717682493662238931,625.4364,239680,298

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.793%
2010-11-03JossManual testing2000020000--0.0020.725%
2010-12-04Oscar Östlin7501175011--0.0081.611%
2011-01-22Oscar Östlin9000018225006--0.0194.603%
2014-08-07JossManual testing117268117268--0.0122.010%
2014-10-22JossManual testing144536144536--0.0152.214%
2015-08-01mikrMSI300000010000000012--0.81212.427%
2018-04-27alpertronManual testing20000006000000012---11.345%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.065
2009-01-16Sturle Sundeeberlin.ifi2602610.065
2012-05-29Sebastian HornbostelManual testing2612620.131
2013-01-23dbaughManual testing2622630.417
2015-03-06VictordeHollanderManual testing2632640.834
2015-03-06VictordeHollanderManual testing2642651.587
2015-10-27ramgeisManual testing2652663.175


ECM factoring results:
Total ECM effort:11.159 GHz-days
Estimated T-Level:21.492
DigitsB1CompleteFacMiss
20110003.1154.436%
25500000.29874.194%
302500000.01998.097%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.209
50000500000010.089
5000018956490509.86


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01ANONYMOUSv4_computers55BF19EAB088644A0.159


PRP results:
dateuseridcompidcofactorsres64
2017-10-12Oliver KruseGTX-0
21847926510155420343017
7CAD4F675EE5B79E
2017-11-24kkmrkkblmbrbkc4.xlarge
21847926510155420343017
7CAD4F675EE5B79E


CERT results:
No CERT results for M2353817


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 90000, B2 = 1822500 (P-1 stage 2)
B1 = 144536 (P-1 stage 1)
B1 = 117268 (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)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
266
265
264
263
262
261
260
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.49 ~= 55-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00