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

Author

Rémy Sigrist, Nov 21 2020

Keywords

• nonn
• base

Comments

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

Examples

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

Links

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

Crossrefs

Cf. A308340, A336817.

Programs

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)))

Formula

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