cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A066136 Primes are replaced by their local sequence number in A000040, while composites are replaced by their sequence number in A002808; (a kind of eigen- or home-indexing).

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%I A066136 #22 Dec 14 2024 20:30:12
%S A066136 0,1,2,1,3,2,4,3,4,5,5,6,6,7,8,9,7,10,8,11,12,13,9,14,15,16,17,18,10,
%T A066136 19,11,20,21,22,23,24,12,25,26,27,13,28,14,29,30,31,15,32,33,34,35,36,
%U A066136 16,37,38,39,40,41,17,42,18,43,44,45,46,47,19,48,49,50,20,51,21,52,53
%N A066136 Primes are replaced by their local sequence number in A000040, while composites are replaced by their sequence number in A002808; (a kind of eigen- or home-indexing).
%C A066136 Primality or compositeness is recognizable from the terms: if successor of a term(>2) is larger by one than the term, then it labels a composite number.
%H A066136 Harry J. Smith, <a href="/A066136/b066136.txt">Table of n, a(n) for n=1..1000</a>
%F A066136 a(n) = pi(n) if n is prime; a(n) = n-pi(n)-1 if n is not prime.
%F A066136 a(n) = A026238(n), n>1. - _R. J. Mathar_, Sep 30 2008
%t A066136 Do[s=n; If[PrimeQ[n], Print[PrimePi[n]]]; If[ !PrimeQ[n], Print[n-PrimePi[n]-1]], {n, 1, 1000}]
%o A066136 (PARI) a(n) = { if (isprime(n), primepi(n), n - primepi(n) - 1) } \\ _Harry J. Smith_, Feb 02 2010
%Y A066136 Cf. A000040, A000720, A002808, A026238.
%K A066136 nonn
%O A066136 1,3
%A A066136 _Labos Elemer_, Dec 07 2001