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.
%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