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

Author

Antti Karttunen, Jun 03 2024

Keywords

• nonn

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

Crossrefs

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

Complement of A373375.

Cf. A001414, A003415.

Programs

PARI

isA373376(n) = !A373374(n);