A122601 a(n)=(n-th prime +1) modulo 7.

3, 4, 6, 1, 5, 0, 4, 6, 3, 2, 4, 3, 0, 2, 6, 5, 4, 6, 5, 2, 4, 3, 0, 6, 0, 4, 6, 3, 5, 2, 2, 6, 5, 0, 3, 5, 4, 3, 0, 6, 5, 0, 3, 5, 2, 4, 2, 0, 4, 6, 3, 2, 4, 0, 6, 5, 4, 6, 5, 2, 4, 0, 0, 4, 6, 3, 3, 2, 5, 0, 4, 3, 4, 3, 2, 6, 5, 6, 3, 4, 0, 2, 5, 0, 6, 3, 2, 3, 0, 2, 6, 4, 5, 2, 3, 0, 6, 4, 6, 3, 2, 5, 4, 3, 5

Offset: 1

Author

Zak Seidov, Sep 24 2006

Keywords

• nonn

Comments

a(n)=1 only for n=4; frequences f(m) of other values are almost equal, e.g., for n=1..1000, f(m=0..6): 166,1,165,166,168,164,170.

Crossrefs

Cf. A039705.

Programs

Mathematica

Table[Mod[(Prime[n]+1),7],{n,1000}]

Formula

a(n)= (A039705(n)+1) mod 7