A272356 (Sum_{i=1..n} prime(i)) mod 4.

0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 3, 0, 3, 2, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 3, 0, 3, 0, 3, 2, 3, 2, 3, 2, 3, 0, 3, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 0, 3, 2, 3, 2, 1, 2, 3, 0, 1, 0, 1, 0, 1, 0, 3, 0, 1, 2, 1, 0, 3, 2, 1, 0, 3, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 3, 0, 3, 0

Offset

0,2

Comments

Inspired by A103271, prime(n)+prime(n+1) mod 4.

Links

Table of n, a(n) for n=0..121.

Formula

a(n) = A007504(n) mod 4.

Prog

(PARI) A272356(n, print_all=1, a=Mod(0, 4))={n&&forprime(p=2, , a+=p; print_all&&print1(lift(a)", "); n--||break); lift(a)}

Crossrefs

Cf. A103271, A007504.

Sequence in context: A286134 A336922 A276469 * A102565 A076826 A137178

Adjacent sequences: A272353 A272354 A272355 * A272357 A272358 A272359

Keyword

nonn

Author

M. F. Hasler, Apr 26 2016

Status

approved