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 A234100 #13 Jul 23 2023 01:52:48 %S A234100 195,255,399,455,483,555,615,627,663,759,795,915,935,1095,1235,1239, %T A234100 1295,1419,1455,1479,1515,1547,1595,1659,1767,1955,2067,2139,2235, %U A234100 2247,2343,2387,2555,2595,2607,2639,2847,2895,2919,2967,3219,3243,3335,3395,3399 %N A234100 Products p*q*r of distinct primes for which (p*q*r - 1)/2 is prime. %H A234100 Harvey P. Dale, <a href="/A234100/b234100.txt">Table of n, a(n) for n = 1..274</a> (all terms up to 20000) %e A234100 97 = (3*5*13 - 1)/2, and 3*5*13 is the least product p*q*r of 3 distinct primes for which (p*q*r - 1)/2 is prime, so a(1) = 3*5*13. %t A234100 t = Select[Range[1, 10000, 2], Map[Last, FactorInteger[#]] == Table[1, {3}] &]; Take[(t - 1)/2, 120] (* A234099 *) %t A234100 v = Flatten[Position[PrimeQ[(t - 1)/2], True]] ; w = Table[t[[v[[n]]]], {n, 1, Length[v]}] (* this sequence *) %t A234100 (w - 1)/2 (* A234101 *) (* _Peter J. C. Moses_, Dec 23 2013 *) %t A234100 With[{upto=4000},Select[Union[Times@@@Select[Subsets[Prime[ Range[ PrimePi[ upto/ 6]]],{3}],PrimeQ[(Times@@#-1)/2]&]],#<=upto&]] (* _Harvey P. Dale_, May 12 2017 *) %Y A234100 Cf. A234099, A234101, A234093, A234102. %K A234100 nonn,easy %O A234100 1,1 %A A234100 _Clark Kimberling_, Dec 27 2013