A209085 a(n) is the next larger than A208982(n) number with mutual Hamming distance 1.

3, 3, 7, 5, 7, 7, 11, 11, 13, 31, 17, 19, 19, 23, 23, 23, 31, 31, 29, 31, 31, 37, 47, 41, 43, 43, 47, 47, 47, 53, 59, 59, 61, 127, 67, 67, 71, 71, 71, 79, 73, 79, 79, 79, 83, 83, 89, 127, 97, 103, 101, 103, 103, 107, 107, 109, 127, 113, 127, 127, 127, 127

Offset

1,1

Comments

All terms are prime by construction of A208982, and prime p occurs k times iff 2^k||p+1. In particular, every prime of the form 4*k+1 occurs 1 time. Thus all odd primes are in the sequence.

Links

Table of n, a(n) for n=1..62.

Example

Since 2^4 divides 48, but 2^5 not divides, i.e., 2^4||48, then 47 occurs four times.

Crossrefs

Cf. A206853, A208982.

Sequence in context: A137695 A338768 A318456 * A086799 A218388 A308340

Adjacent sequences: A209082 A209083 A209084 * A209086 A209087 A209088

Keyword

nonn,base

Author

Vladimir Shevelev, Mar 05 2012

Status

approved