A373373 Numbers k for which both A001414(k) and A276085(k) are multiples of 3, where A001414 is the sum of prime factors with repetition and A276085 is the primorial base log-function.

1, 8, 27, 35, 42, 64, 65, 77, 78, 95, 114, 119, 125, 143, 150, 155, 161, 180, 185, 186, 203, 209, 215, 216, 221, 222, 258, 275, 280, 287, 299, 305, 323, 329, 330, 335, 336, 341, 343, 365, 366, 371, 377, 395, 396, 402, 407, 413, 425, 437, 438, 473, 474, 485, 497, 510, 512, 515, 520, 527, 533, 545, 551, 575, 581, 582

Offset

1,2

Comments

As A001414 and A276085 are both fully additive, this sequence forms a multiplicative semigroup: if m and n are in the sequence, then so is m*n.

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

Prog

(PARI) isA373373 = A373372;

Crossrefs

Cf. A001414, A276085, A373372 (characteristic function).

Intersection of A289142 and A339746.

Positions of multiples of 3 in A373362.

Cf. also A373144.

Sequence in context: A297868 A051760 A373144 * A213519 A352423 A371955

Adjacent sequences: A373370 A373371 A373372 * A373374 A373375 A373376

Keyword

nonn

Author

Antti Karttunen, Jun 02 2024

Status

approved