A143853 - OEIS

A143853

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

2, 3, 23, 53, 613, 490537

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OFFSET

1,1

COMMENTS

The prime elements of A233344.

LINKS

Table of n, a(n) for n=1..6.

EXAMPLE

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.

CROSSREFS

Cf. A143851

Sequence in context: A120366 A371310 A041787 * A195241 A090180 A350523

Adjacent sequences: A143850 A143851 A143852 * A143854 A143855 A143856

KEYWORD

more,nonn

AUTHOR

Neil Fernandez, Sep 03 2008

EXTENSIONS

490537 from Max Alekseyev, Sep 15 2009

Term 2 prepended by Max Alekseyev, Dec 07 2013

STATUS

approved