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 A114432 #26 Jul 21 2025 11:19:23
%S A114432 17,8126654054401
%N A114432 Primes of the form 1 + product of the first k 4-almost primes A014613.
%C A114432 The next term is too large to display here. - _N. J. A. Sloane_, Jul 30 2009
%C A114432 4-almost prime analog of primorial primes A005234 as indexed by A014545. In that sense, this sequence is indexed by (1, 8, ...). No more through product of first 16 of the 4-almost primes.
%C A114432 Terms are one more than the products of 4-almost primes up to 16, 81, 294, 513, 825, 1356, 1612, 2004, 2756, 7714, ... - _Charles R Greathouse IV_, Jul 28 2009
%H A114432 Amiram Eldar, <a href="/A114432/b114432.txt">Table of n, a(n) for n = 1..8</a>
%F A114432 {1 + Product_{i=1..k} A014613(i)} INTERSECTION A000040.
%e A114432 a(1) = 17 because 1 + 16 = 1 + A014613(1) = 1 more than the first 4-almost prime is itself prime.
%e A114432 a(2) = 8126654054401 = 1 + (16 * 24 * 36 * 40 * 54 * 56 * 60 * 81) = 1 more than the product of the first 8 of the 4-almost primes and is prime.
%t A114432 Select[FoldList[Times, Select[Range[200], PrimeOmega[#] == 4 &]] + 1, PrimeQ] (* _Amiram Eldar_, Jul 20 2025 *)
%Y A114432 Cf. A000040, A014613, A005234, A014545.
%K A114432 nonn
%O A114432 1,1
%A A114432 _Jonathan Vos Post_, Feb 13 2006