A039709 a(n) = n-th prime modulo 11.

2, 3, 5, 7, 0, 2, 6, 8, 1, 7, 9, 4, 8, 10, 3, 9, 4, 6, 1, 5, 7, 2, 6, 1, 9, 2, 4, 8, 10, 3, 6, 10, 5, 7, 6, 8, 3, 9, 2, 8, 3, 5, 4, 6, 10, 1, 2, 3, 7, 9, 2, 8, 10, 9, 4, 10, 5, 7, 2, 6, 8, 7, 10, 3, 5, 9, 1, 7, 6, 8, 1, 7, 4, 10, 5, 9, 4, 1, 5, 2, 1, 3, 2, 4, 10, 3

Offset

1,1

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Formula

a(A049084(A137977(n-1))) = even; a(A049084(A137978(n-1))) = odd. - Reinhard Zumkeller, Feb 25 2008

Sum_k={1..n} a(k) ~ (11/2)*n. - Amiram Eldar, Dec 11 2024

Maple

seq(ithprime(n) mod 11, n=1..100); # Nathaniel Johnston, Jun 29 2011

Mathematica

Mod[Prime@ Range@ 86, 11] (* Robert G. Wilson v *)

Prog

(PARI) primes(1000)%11 \\ Charles R Greathouse IV, Mar 13 2011
(Magma) [p mod 11: p in PrimesUpTo(500)]; // Vincenzo Librandi, May 06 2014

Crossrefs

Cf. A000040, A039703, A039705, A039710-A039715, A049084, A137977, A137978.

Sequence in context: A185107 A042939 A115259 * A346512 A104250 A171013

Adjacent sequences: A039706 A039707 A039708 * A039710 A039711 A039712

Keyword

nonn,easy

Author

Clark Kimberling, Dec 11 1999

Status

approved