A086805 - OEIS

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A086805

Primes in the numerator of the continued fraction rational approximation of zeta(3).

5, 113, 1987, 552493, 628313002458512784191921, 40755082849497410605337341, 6681921617166540622940410282864619819

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

LINKS

Table of n, a(n) for n=0..6.

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