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.

A097363 Positive integers n such that 2n-13 is prime.

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%I A097363 #22 Feb 04 2024 01:17:17
%S A097363 8,9,10,12,13,15,16,18,21,22,25,27,28,30,33,36,37,40,42,43,46,48,51,
%T A097363 55,57,58,60,61,63,70,72,75,76,81,82,85,88,90,93,96,97,102,103,105,
%U A097363 106,112,118,120,121,123,126,127,132,135,138,141,142,145,147,148,153,160,162
%N A097363 Positive integers n such that 2n-13 is prime.
%H A097363 Shawn A. Broyles, <a href="/A097363/b097363.txt">Table of n, a(n) for n = 1..1000</a>
%F A097363 Half of p+13 where p is a prime greater than 2.
%t A097363 (Prime[Range[2,100]]+13)/2 (* _Vladimir Joseph Stephan Orlovsky_, Feb 08 2010 *)
%t A097363 Select[Range[8,200],PrimeQ[2#-13]&] (* _Harvey P. Dale_, Apr 26 2013 *)
%Y A097363 Cf. A000040, A098602.
%Y A097363 Numbers n such that 2n+k is prime: A005097 (k=1), A067076 (k=3), A089038 (k=5), A105760 (k=7), A155722 (k=9), A101448 (k=11), A153081 (k=13), A089559 (k=15), A173059 (k=17), A153143 (k=19).
%Y A097363 Numbers n such that 2n-k is prime: A006254 (k=1), A098090 (k=3), A089253 (k=5), A089192 (k=7), A097069 (k=9), A097338 (k=11), this sequence (k=13), A097480 (k=15), A098605 (k=17), A097932 (k=19).
%K A097363 easy,nonn
%O A097363 1,1
%A A097363 Douglas Winston (douglas.winston(AT)srupc.com), Sep 18 2004