A071170 - OEIS

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A071170

n-th prime reduced modulo sigma(n).

2

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

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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: A179773 A387884 A244977 * A332762 A108691 A378962

Adjacent sequences: A071167 A071168 A071169 * A071171 A071172 A071173

KEYWORD

nonn

AUTHOR

Labos Elemer, May 15 2002

STATUS

approved