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 A243895 #31 Jul 16 2025 16:20:12 %S A243895 5,19,47,89,149,223,307,409,523,659,823,997,1187,1423,1613,1877,2141, %T A243895 2423,2731,3079,3457,3797,4201,4621,5039,5507,5987,6473,6991,7561, %U A243895 8147,8731,9337,9929,10613,11317,12043,12739,13487,14323,15091,15859,16741 %N A243895 a(n) = prime(n^2-1). %C A243895 The prime numbers prime(k-1), prime(k) = A001248 and prime(k+1) = A243896 with k = n^2 are building a triple of successive prime numbers. Remark: prime(n^2-1) is not defined for n=1. %H A243895 Freimut Marschner, <a href="/A243895/b243895.txt">Table of n, a(n) for n = 2..97</a> %F A243895 a(n) = prime(n^2-1) = prime(A000290(n) - 1) = prime(A005563(n-1)). %e A243895 n = 3, n^2 = 9, n^2-1 = 8, prime(8) = 19. %t A243895 Table[Prime[n^2-1],{n,2,50}] (* _Harvey P. Dale_, Jul 16 2025 *) %Y A243895 Cf. A000290 (squares n^2), A000040 (prime(n)), A001248 (prime(n)^2), A011757 (prime(n^2)), A055875 (prime(n^3)), A096327 (prime((prime(n)^2))), A096328 (prime(prime(n)^3)), A038580 (prime(prime(prime(n)))). %K A243895 nonn %O A243895 2,1 %A A243895 _Freimut Marschner_, Jun 17 2014