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 A078763 #32 Dec 23 2023 06:01:56 %S A078763 2,3,11,13,29,31,53,59,61,83,89,97,127,131,137,139,173,179,181,191, %T A078763 193,227,229,233,239,241,251,293,307,311,313,317,367,373,379,383,389, %U A078763 397,443,449,457,461,463,467,479,541,547,557,563,569,571,631,641,643,647 %N A078763 List primes between (2n-1)^2 and (2n)^2. %C A078763 Primes are on adjacent sides of the Ulam square prime-spiral. %H A078763 Robert Israel, <a href="/A078763/b078763.txt">Table of n, a(n) for n = 1..10000</a> %e A078763 The 2 primes between 3^2=9 (odd) and 4^2=16 (even) are just a(3)=11 and a(4)=13. %p A078763 2,seq(op(select(isprime, [seq(i,i=(2*n-1)^2..(2*n)^2,2)])),n=1..20); # _Robert Israel_, Oct 28 2020 %t A078763 f[n_] := Select[Range[(2n - 1)^2, (2n)^2], PrimeQ];Flatten@Array[f, 13] (* _Ray Chandler_, May 03 2007 *) %Y A078763 Cf. A014085, A078764. %K A078763 easy,nonn,tabf %O A078763 1,1 %A A078763 _Donald S. McDonald_, Jan 09 2003 %E A078763 Extended by _Ray Chandler_, May 03 2007