A244578 Sum of all aliquot divisors of all positive integers <= prime(n).

1, 2, 6, 13, 33, 50, 85, 107, 155, 255, 298, 433, 523, 578, 678, 873, 1076, 1185, 1421, 1581, 1705, 1968, 2159, 2494, 3002, 3250, 3365, 3615, 3788, 4072, 5152, 5449, 5990, 6141, 7057, 7280, 7917, 8507, 8847, 9553, 10164, 10531, 11646, 11963, 12408, 12679

Offset

1,2

Links

Table of n, a(n) for n=1..46.

Formula

a(n) = A153485(A000040(n)).

a(n) ~ (Pi^2/12 - 1/2) * n^2 * log(n)^2. - Amiram Eldar, Mar 22 2024

Prog

(PARI) a(n) = sum(i=1, prime(n), sigma(i)-i); \\ Michel Marcus, Sep 29 2014

Crossrefs

Cf. A000040, A000203, A001065, A153485, A244576, A244583.

Sequence in context: A053562 A003039 A109385 * A238827 A098407 A151390

Adjacent sequences: A244575 A244576 A244577 * A244579 A244580 A244581

Keyword

nonn

Author

Omar E. Pol, Jun 30 2014

Extensions

More terms from Michel Marcus, Sep 29 2014

Status

approved