The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A239693 Base 7 sum of digits of prime(n). 3
 2, 3, 5, 1, 5, 7, 5, 7, 5, 5, 7, 7, 11, 7, 11, 5, 5, 7, 7, 5, 7, 7, 11, 11, 13, 5, 7, 5, 7, 5, 7, 11, 11, 13, 5, 7, 7, 7, 11, 11, 11, 13, 11, 13, 5, 7, 7, 13, 11, 13, 11, 11, 13, 11, 11, 11, 11, 13, 13, 11, 13, 17, 13, 11, 13, 11, 13, 13, 5, 7, 5, 5, 7, 7 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(n) is the rank of prime(n) in the base-7 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) = A053828(A000040(n)). EXAMPLE The fifth prime is 11, 11 in base 7 is (1,4) so a(5)=1+4=5. MATHEMATICA Table[Plus @@ IntegerDigits[Prime[n], 7], {n, 1, 100}] (* Vincenzo Librandi, Mar 25 2014 *) PROG (Sage) [sum(i.digits(base=7)) for i in primes_first_n(200)] (Magma) [&+Intseq(NthPrime(n), 7): n in [1..100]]; // Vincenzo Librandi, Mar 25 2014 CROSSREFS Cf. A007605, A014499, A053828, A239690, A239691, A239692. Sequence in context: A123217 A039704 A002752 * A256655 A128047 A105870 Adjacent sequences: A239690 A239691 A239692 * A239694 A239695 A239696 KEYWORD nonn,base AUTHOR Tom Edgar, Mar 24 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 3 09:03 EST 2022. Contains 358515 sequences. (Running on oeis4.)