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A239694 Base 8 sum of digits of prime(n). 2
2, 3, 5, 7, 4, 6, 3, 5, 9, 8, 10, 9, 6, 8, 12, 11, 10, 12, 4, 8, 3, 9, 6, 5, 6, 10, 12, 9, 11, 8, 15, 5, 4, 6, 9, 11, 10, 9, 13, 12, 11, 13, 16, 4, 8, 10, 8, 13, 10, 12, 9, 15, 10, 13, 5, 11, 10, 12, 11, 8, 10, 13, 13, 17, 12, 16, 9, 8, 11, 13, 10, 16, 17, 16 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) is the rank of prime(n) in the base-8 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) = A053829(A000040(n)).

EXAMPLE

The sixth prime is 13, 13 in base 8 is (1,5) so a(6)=1+5=6.

MATHEMATICA

Table[Plus @@ IntegerDigits[Prime[n], 8], {n, 1, 100}] (* Vincenzo Librandi, Mar 25 2014 *)

PROG

(Sage) [sum(i.digits(base=8)) for i in primes_first_n(200)]

(MAGMA) [&+Intseq(NthPrime(n), 8): n in [1..100]]; // Vincenzo Librandi, Mar 25 2014

CROSSREFS

Cf. A007605, A014499, A053829, A239690, A239691, A239692, A239693.

Sequence in context: A124322 A209037 A075241 * A097883 A290020 A178595

Adjacent sequences:  A239691 A239692 A239693 * A239695 A239696 A239697

KEYWORD

nonn,base

AUTHOR

Tom Edgar, Mar 24 2014

STATUS

approved

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Last modified April 24 09:54 EDT 2019. Contains 322420 sequences. (Running on oeis4.)