A239692 Base 6 sum of digits of prime(n).

2, 3, 5, 2, 6, 3, 7, 4, 8, 9, 6, 2, 6, 3, 7, 8, 9, 6, 7, 11, 3, 4, 8, 9, 7, 11, 8, 12, 4, 8, 7, 11, 12, 9, 9, 6, 7, 8, 12, 13, 14, 6, 11, 8, 12, 9, 11, 3, 7, 4, 8, 9, 6, 11, 7, 8, 9, 6, 7, 11, 8, 8, 7, 11, 8, 12, 6, 7, 12, 9, 13, 14, 7, 8, 9, 13, 14, 7, 11, 9

Offset

1,1

Comments

a(n) is the rank of prime(n) in the base-6 dominance order on the natural numbers.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Tyler Ball and Daniel Juda, Dominance over N, Rose-Hulman Undergraduate Mathematics Journal, Vol. 13, No. 2, Fall 2013.

Formula

a(n) = A053827(A000040(n)).

Example

The sixth prime is 13, 13 in base 6 is (2,1) so a(6)=2+1=3.

Mathematica

Table[Plus @@ IntegerDigits[Prime[n], 6], {n, 1, 100}] (* Vincenzo Librandi, Mar 25 2014 *)

Prog

(Sage) [sum(i.digits(base=6)) for i in primes_first_n(200)]
(Magma) [&+Intseq(NthPrime(n), 6): n in [1..100]]; // Vincenzo Librandi, Mar 25 2014
(PARI) a(n) = sumdigits(prime(n), 6); \\ Michel Marcus, Mar 04 2023

Crossrefs

Cf. A007605, A014499, A053827, A239690, A239691.

Sequence in context: A093870 A250445 A297996 * A126833 A138512 A053723

Adjacent sequences: A239689 A239690 A239691 * A239693 A239694 A239695

Keyword

nonn,base

Author

Tom Edgar, Mar 24 2014

Status

approved