A143851 - OEIS

A143851

Primes p that divide the sum of their residues modulo all smaller primes (=A024934(p)).

2, 13, 167, 2239, 439867, 724031017, 1990127567, 54892225873

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OFFSET

1,1

COMMENTS

Also, primes p such that p divides A024924(p). The prime terms of A065132.

LINKS

Table of n, a(n) for n=1..8.

EXAMPLE

13 is congruent to 1,1,3,6 and 2, modulo 2,3,5,7 and 11 respectively. 1+1+3+6+2=13, which is a multiple of the original number, 13. So the original number, is in the sequence.

MATHEMATICA

For[n = 1, n < 1000001, n++, p = Prime[n]; m = Mod[Sum[Mod[p, Prime[i]], {i, 1, n - 1}], p]; If[m == 0, Print[p]]]

CROSSREFS

Cf. A065132

Sequence in context: A258224 A351021 A078363 * A088316 A006905 A119400

Adjacent sequences: A143848 A143849 A143850 * A143852 A143853 A143854

KEYWORD

more,nonn

AUTHOR

Neil Fernandez, Sep 03 2008

EXTENSIONS

a(6)-a(8) from Max Alekseyev, Feb 10 2012

STATUS

approved