A358761 Numbers k for which bigomega(k) == 1 (mod 4).

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 32, 37, 41, 43, 47, 48, 53, 59, 61, 67, 71, 72, 73, 79, 80, 83, 89, 97, 101, 103, 107, 108, 109, 112, 113, 120, 127, 131, 137, 139, 149, 151, 157, 162, 163, 167, 168, 173, 176, 179, 180, 181, 191, 193, 197, 199, 200, 208, 211, 223, 227, 229, 233, 239, 241, 243

Offset

1,1

Comments

Numbers k such that number of their prime factors (when counted with multiplicity, with A001222) is of the form 4n+1: 1, 5, 9, 13, 17, ..., A016813.

Equally, numbers k for which A349905(k) == 1 (mod 4).

Links

Table of n, a(n) for n=1..67.

Formula

{k | A010873(A001222(k)) = 1}.

Example

48 = 2^4 * 3 has 5 prime factors in total, and 5 is a number of the form 5n+1 (in A016813), therefore 48 is included in this sequence. Or equivalently, because A349905(48) = 621 = 4*155 + 1.

Prog

(PARI) isA358761(n) = A358751(n);

Crossrefs

Cf. A000040 (subsequence), A001222, A003415, A003961, A010051, A010873, A016813, A349905, A358751 (characteristic function).

Setwise difference A026424 \ A358763.

Cf. also A358760, A358762.

Sequence in context: A319333 A326715 A338925 * A371654 A089063 A339819

Adjacent sequences: A358758 A358759 A358760 * A358762 A358763 A358764

Keyword

nonn

Author

Antti Karttunen, Nov 29 2022

Status

approved