A072583 Numbers n with property that there is no match when comparing the 0's and the 1's of n and the n-th prime in their binary representations.

2, 4, 9, 10, 11, 12, 14, 15, 17, 18, 27, 29, 33, 35, 36, 38, 39, 40, 43, 46, 48, 51, 52, 53, 54, 55, 56, 63, 66, 72, 73, 75, 76, 83, 85, 86, 90, 91, 92, 95, 96, 97, 100, 102, 104, 109, 111, 112, 113, 115, 117, 119, 120, 122, 123, 124, 126, 127, 129, 130, 131, 132, 133

Offset

1,1

Comments

In other words, A000120(n)<>A000120(A000040(n)) and A000120(n)<>A023416(A000040(n)) and A023416(n)<>A000120(A000040(n)) and A023416(n)<>A023416(A000040(n)).

A000120(n)<>A014499(n) and A000120(n)<>A035103(n) and A023416(n)<>A014499(n) and A023416(n)<>A035103(n);

a(n)=A049084(A072584(n)).

Links

Table of n, a(n) for n=1..63.

Example

n = 40 = '101000', A000040(40) = 173 = '10101101'.

Crossrefs

Cf. A072577, A072578, A072579, A071600.

Sequence in context: A246515 A275658 A267414 * A178488 A226821 A047465

Adjacent sequences: A072580 A072581 A072582 * A072584 A072585 A072586

Keyword

nonn

Author

Reinhard Zumkeller, Jun 23 2002

Status

approved