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.

A087583 Distinct primes such that the absolute values of successive differences are distinct palindromes. a(n+1) is chosen to be < a(n) if such a prime exists, minimizing a(n)-a(n+1); otherwise the minimal a(n+1) > a(n) is chosen.

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%I A087583 #4 Dec 05 2013 19:56:31
%S A087583 2,3,5,11,7,29,37,103,59,271,19,107,349,127,359,157,419,137,409,701,
%T A087583 277,691,257,661,197,641,167,773,97,733,239,1087,461,1117,431,1097,
%U A087583 643,1259,613,1451,967,149,977,281,2393,61,919,41,929,31,839,3061,619,1487
%N A087583 Distinct primes such that the absolute values of successive differences are distinct palindromes. a(n+1) is chosen to be < a(n) if such a prime exists, minimizing a(n)-a(n+1); otherwise the minimal a(n+1) > a(n) is chosen.
%C A087583 The sequence of absolute differences is 1,2,6,4,22,8,66,44.... Conjecture: this sequence is infinite and contains every even palindrome.
%e A087583 a(3) = 11: |11-5| = 6, a palindrome. The primes < 5 are excluded because they have already occurred in the sequence. 7 is excluded because |7-5| = 2 has already occurred as a difference.
%Y A087583 Cf. A087581, A087582.
%K A087583 base,nonn,easy
%O A087583 0,1
%A A087583 _Amarnath Murthy_, Sep 17 2003
%E A087583 Edited and extended by _David Wasserman_, Jun 14 2005