|
%I #26 Dec 25 2022 19:35:05
%S 2,3,11,29,59,101,157,229,313,421,547,673,829,1013,1201,1429,1621,
%T 1889,2153,2441,2749,3089,3463,3821,4217,4639,5059,5521,6011,6491,
%U 7001,7577,8167,8741,9343,9941,10631,11329,12071,12757,13513,14341,15107,15881
%N a(n) = prime(n^2+1).
%C For n>1, the numbers prime(n^2-1), prime(n^2) and prime(n^2+1), that is, A243895(n), A001248(n) and a(n), constitute a triple of successive prime numbers.
%H Freimut Marschner, <a href="/A243896/b243896.txt">Table of n, a(n) for n = 0..97</a>
%F a(n) = prime(n^2 + 1) = prime(A000290(n) + 1) = prime(A002522(n)).
%e n = 4, n^2 = 16, n^2 + 1 = 17, prime(17) = 59.
%t Table[Prime[n^2+1],{n,0,50}] (* _Harvey P. Dale_, Dec 25 2022 *)
%Y 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 nonn
%O 0,1
%A _Freimut Marschner_, Jun 17 2014
|
