A095959 a(n) = n-th prime modulo 30.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 1, 7, 11, 13, 17, 23, 29, 1, 7, 11, 13, 19, 23, 29, 7, 11, 13, 17, 19, 23, 7, 11, 17, 19, 29, 1, 7, 13, 17, 23, 29, 1, 11, 13, 17, 19, 1, 13, 17, 19, 23, 29, 1, 11, 17, 23, 29, 1, 7, 11, 13, 23, 7, 11, 13, 17, 1, 7, 17, 19, 23, 29, 7, 13, 19

Offset: 1

Author

Reinhard Zumkeller, Jul 14 2004

Keywords

• nonn
• easy

Comments

A002110(3) = 2*3*5 = 30; range for n>3: {1,7,11,13,17,19,23,29} of size 8 = A000720(30) - #{2,3,5} + #{1} = 10 - 3 + 1 = A000010(30).

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. similar sequences listed in A242119.

Cf. A000010, A000720, A002110.

Programs

Magma

[p mod(30): p in PrimesUpTo(500)]; // Vincenzo Librandi, May 07 2014

Mathematica

Mod[Prime[Range[80]], 30] (* Harvey P. Dale, Jul 21 2013 *)

Formula

Sum_k={1..n} a(k) ~ 15*n. - Amiram Eldar, Dec 13 2024