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Primes p that divide the sum of their remainders modulo all smaller composites (=A233131(p)).
2

%I #15 Jan 06 2014 01:56:38

%S 2,3,23,53,613,490537

%N Primes p that divide the sum of their remainders modulo all smaller composites (=A233131(p)).

%C The prime elements of A233344.

%e Composites smaller than 23 are 4,6,8,9,10,12,14,15,16,18,20,21 and 22. 23 is congruent to 3,5,7,5,3,11,9,8,7,5,3 and 2 modulo these numbers respectively. The sum of these residues is 69. This is a multiple of 23, so 23 is in the sequence.

%Y Cf. A143851

%K more,nonn

%O 1,1

%A _Neil Fernandez_, Sep 03 2008

%E 490537 from _Max Alekseyev_, Sep 15 2009

%E Term 2 prepended by _Max Alekseyev_, Dec 07 2013