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 A111013 Prime numbers in A084058. 0
 113, 401, 1294393, 18976049, 1064876737, 59752621657, 1865194962833120965649, 183321526083153004322945764563755249, 11875185018427998198607516048921647377541318041456866528702638540422037754393 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Construct a sequence of fractions r(i)/q(i) from r(0)=q(0)=1 and recursively r(i)/q(i) = (r(i-1)+2*q(i-1)) /(r(i-1) + q(i-1)). The sequence contains the numerators r(i) which are prime numbers. Is this sequence infinite? REFERENCES Prime Obsession, John Derbyshire, Joseph Henry Press, April 2004, p 16. LINKS PROG (PARI) primenum(n, k, typ) = \\ k=mult, typ=1 num, 2 denom. output prime num or denom. { local(a, b, x, tmp, v); a=1; b=1; for(x=1, n, tmp=b; b=a+b; a=k*tmp+a; if(typ==1, v=a, v=b); if(isprime(v), print1(v", "); ) ); print(); print(a/b+.) } CROSSREFS Sequence in context: A101217 A142781 A323176 * A300537 A142850 A203722 Adjacent sequences:  A111010 A111011 A111012 * A111014 A111015 A111016 KEYWORD easy,nonn AUTHOR Cino Hilliard, Oct 02 2005 EXTENSIONS Definition simplified - R. J. Mathar, Jun 15 2010 STATUS approved

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Last modified October 17 21:37 EDT 2019. Contains 328134 sequences. (Running on oeis4.)