A338340 -id:A338340 - cp's OEIS frontend

A338346 1, followed by first differences of A338340.

1, 5, 4, 8, 19, 40, 4, 9, 34, 32, 4, 25, 20, 54, 30, 41, 46, 53, 23, 40, 9, 12, 87, 9, 9, 56, 9, 27, 33, 53, 25, 124, 93, 22, 26, 128, 98, 4, 177, 63, 179, 29, 165, 9, 114, 164, 14, 29, 262, 188, 9, 127, 58, 10, 10, 58, 30, 97, 268, 229, 223, 28, 9, 97, 62, 9, 67, 87, 43, 52

Offset: 1

N. J. A. Sloane, Oct 27 2020

nonn

A338338 has a natural division into blocks, where the blocks (after the initial 1) start at the primes described in A338339 and A338340. The first few blocks are
[1], [2, 4, 6, 3, 9], [5, 10, 20, 8], [7, 14, 28, 12, 15, 30, 40, 16], [11, 22, 44, 18, ..., 36, 48, 32], [17, ...
and the present sequence gives the lengths of the successive blocks.

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Cf. A338338-A338349.

A338345 Numbers k such that A338338(k) is a prime.

Original entry on oeis.org

2, 5, 7, 11, 19, 33, 38, 42, 54, 73, 78, 82, 91, 95, 120, 125, 145, 152, 157, 161, 175, 186, 190, 206, 236, 260, 264, 270, 290, 294, 325, 331, 335, 341, 372, 377, 381, 387, 429, 430, 448, 453, 474, 480, 493, 502, 514, 552, 562, 568, 586, 600, 601, 605, 610, 619, 649, 655, 675

Offset: 1

N. J. A. Sloane, Oct 27 2020

nonn

This is the sorted union of A338340, A338342, and A338344.

Note that the primes in A338338 appear in their natural order.

Rémy Sigrist, Table of n, a(n) for n = 1..10000
Rémy Sigrist, PARI program for A338345

Cf. A338338-A338349.

PARI
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See Links section.
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cp's OEIS Frontend

A338346 1, followed by first differences of A338340.

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