

A337013


Prime numbers arising in A336817.


2



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
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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 * A122583 A001265 A060443
Adjacent sequences: A337010 A337011 A337012 * A337014 A337015 A337016


KEYWORD

nonn,base


AUTHOR

Rémy Sigrist, Nov 21 2020


STATUS

approved



