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.

A054403 Result of third stage of sieve of Eratosthenes (after eliminating multiples of 2, 3 and 5).

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%I A054403 #20 Sep 10 2023 08:31:11
%S A054403 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,49,53,59,61,67,71,73,77,79,
%T A054403 83,89,91,97,101,103,107,109,113,119,121,127,131,133,137,139,143,149,
%U A054403 151,157,161,163,167,169,173,179,181,187,191,193,197,199,203,209,211
%N A054403 Result of third stage of sieve of Eratosthenes (after eliminating multiples of 2, 3 and 5).
%H A054403 Ahmed Hamdy A. Diab, <a href="https://arxiv.org/abs/2012.03052">Sequence eliminating law (SEL) and the interval formulas of prime numbers</a>, arXiv:2012.03052 [math.NT], 2020.
%H A054403 H. B. Meyer, <a href="http://www.hbmeyer.de/eratosiv.htm">Eratosthenes' sieve</a>
%H A054403 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 0, 0, 0, 0, 1, -1).
%F A054403 2, 3, 5 and numbers 30k +/- 1, 7, 11, or 13.
%F A054403 a(n+3) = 2*floor((3*floor((10*floor((9*n+1)/8)+8)/9)+1)/2)+1 for n>=1; see (19) in Diab link. - _Michel Marcus_, Dec 14 2020
%t A054403 Join[{2,3,5},Select[Table[n,{n,2,300}],Mod[#,2]!=0&&Mod[#,3]!=0&&Mod[#,5]!=0&]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 18 2011*)
%Y A054403 Cf. A000040, A004280, A038179, A055396, A055398, A055399.
%K A054403 nonn
%O A054403 1,1
%A A054403 _Henry Bottomley_, May 15 2000