is 2 2316463 - 1
has 697325 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-LAE667A661B8232C3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.827367.1642 %50000005050000003.158210.9771 %15.985570.7686 %
Target2620.265264.5161 %1300010000000.00651.7815 %0.271865.1483 %
Difference+5+12.5621+2.6481 %+4987000+504000000+3.1517+9.1957%+15.7137+5.6203 %

Known prime factors (1 factor, 72.9 bits, 0.00314838% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
231646390044590335877244568892272.9311943579291701988
22 × 3797 × 127968086101
2016-02-143797127968086101412.84682.951,275.6

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-14ANONYMOUSv4_computers2048204800--0.0010.790%
2010-02-19Budannan5000001000000012--0.1027.755%
2018-02-26alpertronManual testing5000001500000012---8.318%
2021-04-05ViliamF35000000505000000---15.468%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.066
2009-01-13Sturle Sundeothello.ifi2602610.066
2012-05-24Sebastian HornbostelManual testing2612620.133
2013-01-23dbaughManual testing2622630.424
2015-03-03VictordeHollanderManual testing2632640.848
2015-03-03VictordeHollanderManual testing2642651.613
2015-10-23ramgeisManual testing2652663.226


ECM factoring results:
Total ECM effort:6.146 GHz-days
Estimated T-Level:20.803
DigitsB1CompleteFacMiss
20110001.83315.989%
25500000.16185.163%
302500000.01099.020%


ECM Summary

B1B2factorcurvesGHz-days
5000050000502.606
500005000000151.207
50000500000010.089
50000651474580.798
500007000000141.446


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26raymondfv4_computersAE667A661B8232C30.156


PRP results:
dateuseridcompidcofactorsres64
2017-10-11Oliver KruseGTX-2
9004459033587724456889
D5EDDEFC866D4053
2017-11-23kkmrkkblmbrbkold
9004459033587724456889
D5EDDEFC866D4053


CERT results:
No CERT results for M2316463


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)
102
103
104
105
106
107
102
103
104
105
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109
1010
1011
1012
TF factor-bounds graph:
266
265
264
263
262
261
260
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=20.8 ~= 52-bit
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Last modified: 2024-02-29T14:28:04+00:00