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Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.
4

%I #5 Mar 31 2012 10:33:15

%S 1,113,1327,2971,31397,34061,43331,44293,58831,155921,370261

%N Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.

%C Inspired by Andrica's conjecture.

%C Cf. A038458, A074976, A078693

%D R. K. Guy, "Unsolved Problems in Number Theory", Springer-Verlag 1994, A8, p. 21

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AndricasConjecture.html">Andrica's conjecture</a>

%K nonn,more

%O 1,2

%A _Rainer Rosenthal_, Feb 02 2003