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 A086805 Primes in the numerator of the continued fraction rational approximation of zeta(3). 0
 5, 113, 1987, 552493, 628313002458512784191921, 40755082849497410605337341, 6681921617166540622940410282864619819 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Cino Hilliard, Continued fractions rational approximation of numeric constants. PROG (PARI) \Continued fractions rational approximation of numeric functions cfrac(m, f) = x=f; for(n=0, m, i=floor(x); x=1/(x-i); print1(i, ", ")) cfraczeta(m, f) = { cf = vector(100000); x=f; for(n=0, m, i=floor(x); x=1/(x-i); cf[n+1] = i; ); for(m1=0, m, r=cf[m1+1]; forstep(n=m1, 1, -1, r = 1/r; r+=cf[n]; ); numer=numerator(r); denom=denominator(r); if(isprime(numer), print1(numer, ", ")); ) } CROSSREFS Sequence in context: A351148 A258177 A224897 * A163014 A199650 A241109 Adjacent sequences: A086802 A086803 A086804 * A086806 A086807 A086808 KEYWORD easy,nonn AUTHOR Cino Hilliard, Aug 05 2003 EXTENSIONS The next term is too large to include. STATUS approved

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Last modified March 21 15:59 EDT 2023. Contains 361408 sequences. (Running on oeis4.)