login
A243896
a(n) = prime(n^2+1).
3
2, 3, 11, 29, 59, 101, 157, 229, 313, 421, 547, 673, 829, 1013, 1201, 1429, 1621, 1889, 2153, 2441, 2749, 3089, 3463, 3821, 4217, 4639, 5059, 5521, 6011, 6491, 7001, 7577, 8167, 8741, 9343, 9941, 10631, 11329, 12071, 12757, 13513, 14341, 15107, 15881
OFFSET
0,1
COMMENTS
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.
LINKS
FORMULA
a(n) = prime(n^2 + 1) = prime(A000290(n) + 1) = prime(A002522(n)).
EXAMPLE
n = 4, n^2 = 16, n^2 + 1 = 17, prime(17) = 59.
MATHEMATICA
Table[Prime[n^2+1], {n, 0, 50}] (* Harvey P. Dale, Dec 25 2022 *)
CROSSREFS
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)))).
Sequence in context: A237038 A309755 A309701 * A202211 A104081 A267902
KEYWORD
nonn
AUTHOR
Freimut Marschner, Jun 17 2014
STATUS
approved