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.

A138358 List of triples of strictly non-palindromic primes without an ordinary prime in between.

This page as a plain text file.
%I A138358 #6 Apr 11 2022 22:08:35
%S A138358 137,139,149,1433,1439,1447,4337,4339,4349,5297,5303,5309,8287,8291,
%T A138358 8293,13049,13063,13093,30293,30307,30313,36007,36011,36013,43391,
%U A138358 43397,43399
%N A138358 List of triples of strictly non-palindromic primes without an ordinary prime in between.
%C A138358 Up to 10^9 there are 2992 triples of strictly non-palindromic primes if the quadruples and quintuples are not counted.
%C A138358 For quadruples of this kind, see A138359.
%C A138358 For quintuples of this kind, see A138360.
%D A138358 Karl Hovekamp, Palindromzahlen in adischen Zahlensystemen, 2004
%H A138358 K. Hovekamp, <a href="http://free.pages.at/neuenkirchen/palindrom/">Palindromic numbers in different bases</a>.
%H A138358 K. Hovekamp, <a href="http://free.pages.at/neuenkirchen/palindrom/bilder/prime/tupelx.txt">Strictly non-palindromic prime 5-tuple, quadruple and triple up to 1 billion</a>
%H A138358 Wikipedia, <a href="http://en.wikipedia.org/wiki/Strictly_non-palindromic_numbers">Strictly non-palindromic numbers</a>.
%F A138358 A small fraction of the primes are strictly non-palindromic. Notice that all strictly non-palindromic numbers >6 are prime! (see: A016038) Triples of these strictly non-palindromic primes, without any normal prime in between, are listed here.
%e A138358 Primes:
%e A138358 ...
%e A138358 113 is palindromic in base 8
%e A138358 127 is palindromic in base 2 and base 9
%e A138358 131 is palindromic in base 10
%e A138358 137 is strictly non-palindromic
%e A138358 139 is strictly non-palindromic
%e A138358 149 is strictly non-palindromic
%e A138358 151 is palindromic in base 3 and base 10
%e A138358 157 is palindromic in base 7 and base 12
%e A138358 ...
%e A138358 So {137, 139, 149} is the first triple of strictly non-palindromic primes.
%Y A138358 Cf. A138359, A138360, A138329, A016038, A047811, A016038.
%K A138358 base,nonn,tabf
%O A138358 1,1
%A A138358 _Karl Hovekamp_, Mar 16 2008