This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A084597 #10 Feb 16 2025 08:32:49 %S A084597 5,9,14,17,23,26,30,42,49,55,56,80,77,72,85,84,89,119,102,118,137,136, %T A084597 143,140,149,156,174,178,188,184,194,200,195,207,219,198,228,247,261, %U A084597 263,245,249,279,297,289,327,306,310,325,335,321,290,356,344,425,365 %N A084597 Largest k such that there are exactly n primes between k^2 and (k+1)^2. %C A084597 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 A084597 P. Ribenboim, The Little Book of Big Primes. Springer-Verlag, 1991, p. 143. %H A084597 T. D. Noe, <a href="/A084597/b084597.txt">Table of n, a(n) for n = 2..1000</a> %H A084597 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LandausProblems.html">Landau's Problems</a>. %e A084597 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 A084597 Cf. A007491, A014085, A076957, A084596. %K A084597 nonn %O A084597 2,1 %A A084597 _Harry J. Smith_, May 31 2003