A071170 n-th prime reduced modulo sigma(n).

0, 0, 1, 0, 5, 1, 1, 4, 10, 11, 7, 9, 13, 19, 23, 22, 5, 22, 7, 29, 9, 7, 11, 29, 4, 17, 23, 51, 19, 41, 31, 5, 41, 31, 5, 60, 5, 43, 55, 83, 11, 85, 15, 25, 41, 55, 19, 99, 56, 43, 17, 43, 25, 11, 41, 23, 29, 1, 37, 113, 35, 5, 99, 57, 61, 29, 59, 85, 59, 61, 65, 164, 71, 31, 7

Offset

1,5

Links

Table of n, a(n) for n=1..75.

Formula

a(n) = Mod(prime(n), sigma(n)) = Mod(A000040(n), A000203(n)).

Example

n=25,p(25)=97, sigma(25)=31, Mod[97,31]=4=a[25]

Mathematica

Table[Mod[Prime[w], DivisorSigma[1, w]], {w, 1, 128}]

Crossrefs

Cf. A000040, A000203, A067696, A067697.

Sequence in context: A110635 A179773 A244977 * A332762 A108691 A010333

Adjacent sequences: A071167 A071168 A071169 * A071171 A071172 A071173

Keyword

nonn

Author

Labos Elemer, May 15 2002

Status

approved