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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.

A088072 Numbers sandwiched between two numbers having only one prime divisor (at least) one of which is composite.

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%I A088072 #7 Sep 29 2019 02:50:54
%S A088072 3,8,10,24,26,28,48,80,82,126,168,242,360,728,840,1368,1848,2208,2400,
%T A088072 3720,5040,6562,6858,7920,10608,11448,14640,16128,17160,19320,19682,
%U A088072 24390,28560,29790,29928,36480,44520,49728,50652,54288,57120,59050
%N A088072 Numbers sandwiched between two numbers having only one prime divisor (at least) one of which is composite.
%C A088072 Terms of A088071 which are not terms of A014574 (average of twin prime pairs).
%C A088072 Conjecture (1): Sequence is infinite. Conjecture (2): There are only finitely many terms which are sandwiched between composite numbers (26 is the only such term below 1000000).
%H A088072 Amiram Eldar, <a href="/A088072/b088072.txt">Table of n, a(n) for n = 1..1000</a>
%e A088072 8 is a term since 7 is prime and 9 = 3*3 is composite; 26 is a term since 25 = 5*5 and 27 = 3*3*3 are both composite.
%o A088072 (PARI) {for(n=2,60000,if(matsize(factor(n-1))[1]*matsize(factor(n+1))[1]==1&&factor(n-1)[1,2]*factor(n+1)[1,2]>1,print1(n,",")))}
%Y A088072 Cf. A088071, A014574.
%K A088072 nonn
%O A088072 1,1
%A A088072 _Amarnath Murthy_, Sep 22 2003
%E A088072 Edited and extended by _Klaus Brockhaus_, Sep 25 2003