A363098 Primitive terms of A363063.

2, 12, 720, 864, 4320, 21600, 62208, 151200, 311040, 1555200, 7776000, 10886400, 54432000, 381024000, 4191264000, 160030080000, 251475840000, 1760330880000, 11522165760000, 19363639680000, 126743823360000, 251727315840000, 403275801600000, 829595934720000

Offset: 1

Author

Pontus von Brömssen and Peter Munn, May 19 2023

Keywords

• nonn

Comments

Numbers k > 1 in A363063 such that there are no i, j > 1 in A363063 with k = i*j.

Factorization into primitive terms of A363063 is not unique. The first counterexample is 1728 = 864 * 2 = 12^3.

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.

Examples

			4 is in A363063, but is not a term here, because 2 is in A363063 and 2 * 2 = 4.
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.
		

Links

• Pontus von Brömssen, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A347284, A363063.