A235050 Squarefree numbers such that none of their prime factors share common 1-bits in the same bit-position of their binary representations.

1, 2, 3, 5, 7, 10, 11, 13, 17, 19, 23, 26, 29, 31, 34, 37, 41, 43, 47, 53, 58, 59, 61, 67, 71, 73, 74, 79, 82, 83, 89, 97, 101, 103, 106, 107, 109, 113, 122, 127, 131, 137, 139, 146, 149, 151, 157, 163, 167, 173, 178, 179, 181, 191, 193, 194, 197, 199, 202, 211, 218, 223, 226, 227, 229, 233, 239, 241, 251, 257

Offset: 1

Author

Antti Karttunen, Jan 22 2014

Keywords

• nonn
• easy

Comments

a(1)=1 is included on the grounds that it has no prime factors at all, thus no conflicting 1-bits.

After a(1)=1 all n such that A001414(n) = A072593(n), or equally, A001414(n) = A072594(n).

Union of noncomposites (A008578) and semiprimes of the form 2*A002144 (cf. also A235490).

Links

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

Crossrefs

Subsequences: A000040, A235490.

Subsequence of A005117.

Cf. also A001414, A072593, A072594, A235040.