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%I #6 Jun 21 2017 04:00:54
%S 116,1330,2481,2558,5929,7371,9961,10743,23378,35608,35612,38361,
%T 44286,46902,69503,69545,88024,107359,110087,110099,113386,126860,
%U 250172,250180,250186,250202,267969,267975,285846,285858,302013,302017,360346,369213,404562,404574,484650,484654,514893,561443,561481,561509,561533,638194,638208,650020,682490,713634,713636
%N Largest a(n) values with at most n primes between a(n) and a(n)+sqrt(a(n)).
%C Conjecture: for every m greater than a(n), there are more than n primes between m and m+sqrt(m); true if a(n) less than 1000000.
%D P. Ribenboim, The Little Book of Big Primes, Springer-Verlag, 1991, p. 143
%e a(3)=2558 because there are three primes between 2558 and int(2558+sqrt 2558)= 2608 and for every larger number there are more than 3 primes in the respective interval.
%K nonn
%O 0,1
%A _Adam Kertesz_, Oct 28 2002
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