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

Author

Vincenzo Librandi, Oct 08 2015

Keywords

• nonn

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

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.

Programs

Magma

[2] cat [CarmichaelLambda(n)+1: n in [2..100]];

Mathematica

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

PARI

vector(100, n, 1 + lcm(znstar(n)[2])) \\ Altug Alkan, Oct 08 2015

Extensions

Edited by Bruno Berselli, Oct 14 2015