A263027 a(n) = A002322(n) + 1, where A002322 is Carmichael lambda.

2, 2, 3, 3, 5, 3, 7, 3, 7, 5, 11, 3, 13, 7, 5, 5, 17, 7, 19, 5, 7, 11, 23, 3, 21, 13, 19, 7, 29, 5, 31, 9, 11, 17, 13, 7, 37, 19, 13, 5, 41, 7, 43, 11, 13, 23, 47, 5, 43, 21, 17, 13, 53, 19, 21, 7, 19, 29, 59, 5, 61, 31, 7, 17, 13, 11, 67, 17, 23, 13, 71, 7

Offset

1,1

Comments

The function t(k,n) = A002322(n)+k provides many prime values for k=1: for n up to 1000, for example, it returns 798 primes (with repetitions). On the other hand, for n <= 1000 and odd k from 3 to 11, t(k,n) gives 247, 387, 538, 231, 504 prime values, respectively.

Another function of this type is |A002322(n)-119|, which provides 693 prime values for n <= 1000. [Bruno Berselli, Oct 14 2015]

Links

Antti Karttunen, Table of n, a(n) for n = 1..5000

Mathematica

Table[CarmichaelLambda[n] + 1, {n, 1, 100}]

Prog

(Magma) [2] cat [CarmichaelLambda(n)+1: n in [2..100]];
(PARI) vector(100, n, 1 + lcm(znstar(n)[2])) \\ Altug Alkan, Oct 08 2015

Crossrefs

Cf. A002322.

Cf. A263028: indices n for which a(n) is prime.

Cf. A263029: indices n for which a(n) is composite.

Cf. also A039649, A296076, A296077.

Sequence in context: A204908 A340265 A339696 * A069974 A039650 A039649

Adjacent sequences: A263024 A263025 A263026 * A263028 A263029 A263030

Keyword

nonn

Author

Vincenzo Librandi, Oct 08 2015

Extensions

Edited by Bruno Berselli, Oct 14 2015

Status

approved