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 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 (list; graph; refs; listen; history; text; internal format)
 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 Freimut Marschner, Table of n, a(n) for n = 0..97 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 Adjacent sequences: A243893 A243894 A243895 * A243897 A243898 A243899 KEYWORD nonn AUTHOR Freimut Marschner, Jun 17 2014 STATUS approved

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Last modified June 2 07:25 EDT 2023. Contains 363081 sequences. (Running on oeis4.)