A233344 Numbers k that divide the sum of their remainders modulo all smaller composites (=A233131(k)).

1, 2, 3, 4, 23, 53, 374, 613, 225460, 490537, 1748155, 3167982, 9266618, 12543856, 12589961, 27359852, 3418801560, 8824909730, 72988555402

Offset

1,2

Comments

The prime terms are given by A143853.

Links

Table of n, a(n) for n=1..19.

Prog

(PARI) s=0; pp=0; for(n=2, 10^8, p=factor(n)[, 1]; s += (n-2) - pp - sigma(n) +  sum(i=1, #p, p[i]) + if(!ispseudoprime(n), n, pp++; 0) + 1; if(s%n==0, print1(n, ", ")) )

Crossrefs

Cf. A065132, A143853, A233131.

Sequence in context: A331603 A171728 A010345 * A329566 A329532 A265484

Adjacent sequences: A233341 A233342 A233343 * A233345 A233346 A233347

Keyword

nonn,more

Author

Max Alekseyev, Dec 07 2013

Status

approved