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 A086386 Numerators of the rational convergents to sqrt(3) if both numerators and denominators are primes. 5
 5, 19, 71, 3691, 191861, 26947261171 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS These numbers are rare. LINKS Table of n, a(n) for n=1..6. PROG (PARI) cfracnum(m, f) = { cfr = vector(10000); x=f; for(n=0, m, i=floor(x); x=1/(x-i); cfr[n+1] = i; ); for(m1=0, m, r=cfr[m1+1]; forstep(n=m1, 1, -1, r = 1/r; r+=cfr[n]; ); numer=numerator(r); denom=denominator(r); if(isprime(numer) & isprime(denom), print1(numer", ")); ) } CROSSREFS Cf. A001834. Sequence in context: A149761 A149762 A299107 * A343799 A289925 A047155 Adjacent sequences: A086383 A086384 A086385 * A086387 A086388 A086389 KEYWORD nonn,frac,more AUTHOR Cino Hilliard, Sep 06 2003 STATUS approved

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Last modified May 25 10:45 EDT 2024. Contains 372788 sequences. (Running on oeis4.)