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 A165132 Primes whose logarithms are known to possess ternary BBP formulas 3
 2, 3, 5, 7, 11, 13 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Contribution from Jaume Oliver Lafont, Oct 07 2009: (Start) log(2)=(2/3)P(1,9,2,(1,0)) log(3)=(1/9)P(1,9,2,(9,1)) log(5)=(4/27)P(1,3^4,4,(9,3,1,0)) log(7)=(1/3^5)P(1,3^6,6,(405,81,72,9,5,0)) log(11)=(1/(2*3^9))P(1,3^10,10,(85293,10935,9477,1215,648,135,117,15,13,0)) log(13)=(1/3^5)P(1,3^6,6,(567,81,36,9,7,0)) See the reference for the definition of P notation. Equivalent expressions in reduced coefficients are given in the code section. (End) LINKS David H. Bailey, A Compendium of BBP-formulas for mathematical constants [From Jaume Oliver Lafont, Oct 07 2009] PROG Contribution from Jaume Oliver Lafont, Oct 07 2009: (Start) (PARI) log2=2*suminf(k=1, [0, 1][k%2+1]/k/3^k) log3=suminf(k=1, [1, 3][k%2+1]/k/3^k) log5=4*suminf(k=1, [0, 1, 1, 1][k%4+1]/k/3^k) log7=suminf(k=1, [0, 5, 3, 8, 3, 5][k%6+1]/k/3^k) log11=suminf(k=1, [0, 13, 5, 13, 5, 8, 5, 13, 5, 13][k%10+1]/k/3^k)/2 log13=suminf(k=1, [0, 7, 3, 4, 3, 7][k%6+1]/k/3^k) (End) CROSSREFS Cf. A104885. Sequence in context: A178357 A205667 A241506 * A193063 A039715 A039714 Adjacent sequences:  A165129 A165130 A165131 * A165133 A165134 A165135 KEYWORD more,nonn AUTHOR Jaume Oliver Lafont, Sep 04 2009 STATUS approved

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Last modified April 19 08:26 EDT 2021. Contains 343110 sequences. (Running on oeis4.)