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A143853 Primes that divide the sum of their residues modulo all smaller composites 0
3, 23, 53, 613, 490537 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

No other terms below 10^7.

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: A031907 A181422 A082244 * A141047 A196538 A183332

Adjacent sequences:  A143850 A143851 A143852 * A143854 A143855 A143856

KEYWORD

more,nonn

AUTHOR

N. Fernandez (ncf(AT)borve.org), Sep 03 2008

EXTENSIONS

490537 from Max Alekseyev (maxale(AT)gmail.com), Sep 15 2009

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Last modified February 15 14:31 EST 2012. Contains 205815 sequences.