is 2 2306453 - 1
has 694312 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L44140FC8A36A991Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.882967.1642 %50000005050000003.158210.9731 %16.041270.7673 %
Target2620.266464.5161 %1200010000000.00641.7385 %0.272865.1330 %
Difference+5+12.6166+2.6481 %+4988000+504000000+3.1518+9.2346%+15.7684+5.6343 %

Known prime factors (1 factor, 65.4 bits, 0.00283674% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2306453496340112218419467292065.42810759814143588
22 × 829 × 3244817293
2015-04-1882932448172933.163217.31732.344

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-14ANONYMOUSv4_computers2048204800--0.0010.789%
2010-02-12Budannan5000001000000012--0.1027.751%
2018-02-19alpertronManual testing5000001500000012---8.314%
2021-06-13ViliamF35000000505000000--3.15815.463%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-15Sturle Sundeakerman.ifi2602610.067
2012-05-13Sebastian HornbostelManual testing2612620.133
2013-01-23dbaughManual testing2622630.426
2015-03-03VictordeHollanderManual testing2632640.851
2015-03-03VictordeHollanderManual testing2642651.620


ECM factoring results:
Total ECM effort:19.086 GHz-days
Estimated T-Level:21.581
DigitsB1CompleteFacMiss
20110003.3083.660%
25500000.31672.886%
302500000.02097.987%


ECM Summary

B1B2factorcurvesGHz-days
500005000000191.560
50000500000020.182
50000389106905017.34


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01ANONYMOUSv4_computers44140FC8A36A991F0.156


PRP results:
dateuseridcompidcofactorsres64
2017-10-11Oliver KruseGTX-0
49634011221841946729
D3396E6FA907106D
2017-11-22kkmrkkblmbrbkc4.xlarge
49634011221841946729
D3396E6FA907106D


CERT results:
No CERT results for M2306453


P-1 factor-bounds graph:
B1 = 5000000, B2 = 505000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
265
264
263
262
261
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.58 ~= 55-bit
250
260
270
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00