A373376 Numbers k such that gcd(A001414(k), A003415(k)) is odd, where A001414 is the sum of prime factors with repetition, and A003415 is the arithmetic derivative.

2, 3, 5, 6, 7, 10, 11, 12, 13, 14, 17, 18, 19, 20, 22, 23, 24, 26, 27, 28, 29, 30, 31, 34, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 52, 53, 54, 56, 58, 59, 61, 62, 63, 66, 67, 68, 70, 71, 73, 74, 75, 76, 78, 79, 80, 82, 83, 86, 88, 89, 90, 92, 94, 96, 97, 98, 99, 101, 102, 103, 104, 105, 106, 107, 108, 109

Offset

1,1

Comments

Numbers k such that sopfr(k) and k' are not both even.

Links

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

Prog

(PARI) isA373376(n) = !A373374(n);

Crossrefs

Positions of odd terms in A373364, positions of 0's in A373374.

Complement of A373375.

Cf. A001414, A003415.

Sequence in context: A166111 A004762 A061854 * A367861 A214432 A110086

Adjacent sequences: A373373 A373374 A373375 * A373377 A373378 A373379

Keyword

nonn

Author

Antti Karttunen, Jun 03 2024

Status

approved