A388983 Numbers, not powers of primes, that are of the form p * m^2, where p is prime and m by necessity > 1.

12, 18, 20, 28, 44, 45, 48, 50, 52, 63, 68, 72, 75, 76, 80, 92, 98, 99, 108, 112, 116, 117, 124, 147, 148, 153, 162, 164, 171, 172, 175, 176, 180, 188, 192, 200, 207, 208, 212, 236, 242, 244, 245, 252, 261, 268, 272, 275, 279, 284, 288, 292, 300, 304, 316, 320, 325, 332, 333, 338, 356, 363, 368, 369, 387, 388, 392, 396

Offset

1,1

Comments

Numbers k of the form p * m^2, where p is prime and A001221(k) > 1.

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

Prog

(PARI) is_A388983(k) = (!isprimepower(k) && isprime(core(k)));
(PARI) is_A388983(k) = (isprime(core(k)) && omega(k)>1);

Crossrefs

Intersection of A024619 and A229125, or equally of A024619 and A228056.

Differs from A187039 and A360554 by having term a(33) = 180.

Subsequences: A388984 (even terms).

Sequence in context: A084679 A072588 A267117 * A187039 A360554 A325241

Adjacent sequences: A388980 A388981 A388982 * A388984 A388985 A388986

Keyword

nonn

Author

Antti Karttunen, Sep 22 2025

Status

approved