Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #9 Apr 29 2012 22:33:33
%S 5,9,14,17,23,26,30,42,49,55,56,80,77,72,85,84,89,119,102,118,137,136,
%T 143,140,149,156,174,178,188,184,194,200,195,207,219,198,228,247,261,
%U 263,245,249,279,297,289,327,306,310,325,335,321,290,356,344,425,365
%N Largest k such that there are exactly n primes between k^2 and (k+1)^2.
%C a(n) is the index of last occurrence of n in A014085. This sequence relies on a heuristic calculation and there is no proof that it is correct. Conjecture: There is no k that has only one prime between k^2 and (k+1)^2.
%D P. Ribenboim, The Little Book of Big Primes. Springer-Verlag, 1991, p. 143.
%H T. D. Noe, <a href="/A084597/b084597.txt">Table of n, a(n) for n = 2..1000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LandausProblems.html">Landau's Problems</a>.
%e a(14)=77 because 14 is in sequence A014085 for the last time at item 77. There are 14 primes between 77^2 and 78^2.
%Y Cf. A007491, A014085, A076957, A084596.
%K nonn
%O 2,1
%A _Harry J. Smith_, May 31 2003