A356021 Positive numbers k such that, for any consecutive prime numbers p, q <= A006530(n), the p-adic and q-adic valuations of n are different.

1, 2, 3, 4, 8, 9, 10, 12, 16, 18, 20, 21, 24, 27, 32, 40, 45, 48, 50, 54, 63, 64, 72, 75, 80, 81, 84, 90, 96, 100, 108, 110, 126, 128, 135, 144, 147, 160, 162, 168, 189, 192, 200, 220, 243, 250, 256, 270, 273, 288, 300, 320, 324, 336, 350, 360, 375, 378, 384

Offset: 1

Author

Rémy Sigrist, Jul 23 2022

Keywords

• nonn

Comments

Equivalently, these are fixed points of A356014.

This sequence is infinite as it contains A066205 and A066206.

If m is a term, then m^k is a term (for any k >= 0).

Crossrefs

Cf. A006530, A066205, A066206, A356014.

Programs

PARI

is(n) = { my (v=-1); forprime (p=2, oo, if (n==1, return (1), v==v=valuation(n,p), return (0), n\=p^v)) }