A179656 prime(n) mod (digital root(prime(n))).

0, 0, 0, 0, 1, 1, 1, 0, 3, 1, 3, 0, 1, 1, 1, 5, 4, 5, 3, 7, 0, 2, 1, 1, 6, 1, 3, 3, 0, 3, 0, 1, 1, 3, 4, 4, 1, 0, 2, 1, 3, 0, 1, 1, 5, 0, 3, 6, 1, 1, 1, 4, 3, 3, 2, 1, 5, 0, 4, 1, 3, 3, 0, 1, 5, 1, 2, 1, 2, 6, 1, 7, 3, 1, 0, 3, 1, 0, 1, 1, 4, 1, 7, 0, 5, 1, 1, 2, 1, 3, 3, 1, 0, 1, 3, 7, 4, 1, 0, 0, 1, 5, 3, 1, 3

Offset

1,9

Comments

For the first one million primes, the distribution of the values (0..8) is {166572, 361136, 69399, 194537, 69405, 69460, 27798, 41693, 0} . - Robert G. Wilson v, Aug 02 2010

Links

Table of n, a(n) for n=1..105.

Example

For n=9 : prime(9)=23, and digital root of 23 = 2+3 = 5, so 23 mod 5 = 3.
For n=16 : prime(16)=53, and digital root of 53 = 5+3 = 8, so 53 mod 8 = 5.

Mathematica

f[n_] := Block[{p = Prime@n}, Mod[p, Mod[p, 9]]]; Array[f, 111] (* Robert G. Wilson v, Aug 02 2010 *)

Crossrefs

Cf. A000040, A038194.

Sequence in context: A179175 A274635 A146524 * A167274 A201679 A131088

Adjacent sequences: A179653 A179654 A179655 * A179657 A179658 A179659

Keyword

nonn,base

Author

Jason G. Wurtzel, Jul 23 2010

Extensions

More terms from Robert G. Wilson v, Aug 02 2010

Status

approved