# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/

Search: id:a363098
Showing 1-1 of 1

%I A363098 #18 May 25 2023 15:14:02
%S A363098 2,12,720,864,4320,21600,62208,151200,311040,1555200,7776000,10886400,
%T A363098 54432000,381024000,4191264000,160030080000,251475840000,
%U A363098 1760330880000,11522165760000,19363639680000,126743823360000,251727315840000,403275801600000,829595934720000
%N A363098 Primitive terms of A363063.
%C A363098 Numbers k > 1 in A363063 such that there are no i, j > 1 in A363063 with k = i*j.
%C A363098 Factorization into primitive terms of A363063 is not unique. The first counterexample is 1728 = 864 * 2 = 12^3.
%C A363098 For every odd prime p there are infinitely many terms whose greatest prime factor is p. Reading along the sequence, we see a term with a new greatest prime factor if and only if it is in A347284.
%H A363098 Pontus von Brömssen, <a href="/A363098/b363098.txt">Table of n, a(n) for n = 1..10000</a>
%e A363098 4 is in A363063, but is not a term here, because 2 is in A363063 and 2 * 2 = 4.
%e A363098 720 is the first term of A363063 that is divisible by 5, from which we deduce 720 is not a product of nonunit terms of A363063. So 720 is a term here.
%Y A363098 Cf. A347284, A363063.
%K A363098 nonn
%O A363098 1,1
%A A363098 _Pontus von Brömssen_ and _Peter Munn_, May 19 2023

# Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE