

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
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OFFSET

1,1


COMMENTS

a(n) is the rank of prime(n) in the base8 dominance order on the natural numbers.


LINKS

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


FORMULA



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)]
(PARI) a(n) = sumdigits(prime(n), 8); \\ Michel Marcus, Mar 04 2023


CROSSREFS



KEYWORD

nonn,base


AUTHOR



STATUS

approved



