A373375 Numbers whose sum of prime factors (with repetition, A001414) and arithmetic derivative (A003415) are both even.

1, 4, 8, 9, 15, 16, 21, 25, 32, 33, 35, 36, 39, 49, 51, 55, 57, 60, 64, 65, 69, 72, 77, 81, 84, 85, 87, 91, 93, 95, 100, 111, 115, 119, 120, 121, 123, 128, 129, 132, 133, 135, 140, 141, 143, 144, 145, 155, 156, 159, 161, 168, 169, 177, 183, 185, 187, 189, 196, 200, 201, 203, 204, 205, 209, 213, 215, 217, 219, 220, 221

Offset

1,2

Comments

Numbers k such that sopfr(k) and k' are both even.

A multiplicative semigroup; if m and n are in the sequence then so is m*n.

Links

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

Prog

(PARI) isA373375 = A373374;

Crossrefs

Intersection of A036349 and A235992.

Disjoint union of A345452 and 8*A345452.

Positions of even terms in A373364.

Cf. A001414, A003415, A373374 (characteristic function), A373376 (complement).

Sequence in context: A137055 A078177 A326692 * A336663 A329936 A023886

Adjacent sequences: A373372 A373373 A373374 * A373376 A373377 A373378

Keyword

nonn

Author

Antti Karttunen, Jun 03 2024

Status

approved