A380470 Numbers k that are squarefree, but A380459(k) is not in A048103.

10, 15, 21, 22, 30, 33, 34, 35, 39, 42, 46, 51, 55, 57, 58, 65, 66, 69, 70, 77, 78, 82, 85, 87, 91, 93, 94, 95, 102, 105, 106, 110, 111, 114, 115, 118, 119, 123, 129, 130, 133, 138, 141, 142, 143, 145, 154, 155, 159, 161, 165, 166, 170, 174, 177, 178, 182, 183, 185, 187, 190, 195, 201, 202, 203, 205, 209, 210, 213

Offset: 1

Author

Antti Karttunen, Feb 02 2025

Keywords

• nonn

Comments

See also comments in A380530.

Examples

			From _Antti Karttunen_, May 09 2025: (Start)
10 = 2*5 is a term, as it is squarefree, and A380459(10) = 54 = 2 * 3^3, thus the prime factor 3 overflows, i.e., has an exponent at least as large as that prime.
5117046 = 2*3*11*31*41*61 is a term, as it is squarefree, and A380459(5117046) = 2 * 3^2 * 5^4 * 7^11 * 11^22 * 13^36 * 17^31 * 19^8, thus the least prime factor which overflows is 7 [= A380528(5117046)].
31203546 = 2*3*11*31*101*151 is a term, as it is squarefree, and A380459(31203546) = 2 * 3^2 * 5^4 * 7^6 * 11^28 * 13^37 * 17^56 * 19^18 * 23^2, thus the least prime factor which overflows is 11 [= A380528(31203546)].
(End)
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..20000

Crossrefs

Setwise difference A005117 \ A380468.

Cf. A380469 (characteristic function), A380528, A380530.

Programs

PARI

is_A380470 = A380469;