A337013 Prime numbers arising in A336817.

3, 7, 3, 5, 7, 3, 13, 2, 3, 2, 5, 2, 3, 2, 31, 2, 3, 2, 7, 2, 3, 2, 13, 2, 3, 2, 5, 2, 3, 2, 61, 2, 3, 2, 5, 2, 3, 2, 13, 2, 3, 2, 5, 2, 3, 2, 31, 2, 3, 2, 7, 2, 3, 2, 13, 2, 3, 2, 5, 2, 3, 2, 127, 2, 3, 2, 7, 2, 3, 2, 13, 2, 3, 2, 5, 2, 3, 2, 31, 2, 3, 2, 7

Offset

1,1

Comments

This sequence contains large runs of consecutive terms that are repeated later on.

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Formula

a(n) = A336817(n) XOR A336817(n+1) (where XOR denotes the bitwise XOR operator).

Example

a(7) = A336817(7) XOR A336817(8) = 7 XOR 10 = 13.

Prog

(PARI) s=0; v=1; for (n=1, 83, s+=2^v; for (w=1, oo, if (!bittest(s, w) && isprime(p=bitxor(v, w)), print1 (p ", "); v=w; break)))

Crossrefs

Cf. A308340, A336817.

Sequence in context: A101636 A193534 A096247 * A362026 A122583 A001265

Adjacent sequences: A337010 A337011 A337012 * A337014 A337015 A337016

Keyword

nonn,base

Author

Rémy Sigrist, Nov 21 2020

Status

approved