A387382 Numbers k such that there exists a prime p for which p+x_1, ..., p+x_1+...+x_j are prime, where (x_1, ..., x_j) is the k-th composition in graded reverse lexicographic order ("standard order", see A066099), i.e., such that A387381(k) != 0.

0, 1, 2, 4, 6, 8, 10, 16, 18, 24, 26, 32, 34, 40, 128, 130, 136, 160, 162, 168, 256, 264, 288, 296, 384, 392, 416, 424, 512, 514, 520, 544, 546, 552, 640, 642, 672, 674, 1024, 1026, 1056, 1058, 1152, 1154, 1184, 1186, 1536, 1538, 1568, 1570, 1664, 1666, 1696, 1698

Offset

1,3

Comments

Sorted list (duplicates removed) of numbers Sum_{i=0..j-1} 2^(p_j-p_i-1) for all increasing tuples of primes (p_0, ..., p_j), j >= 0.

Links

Table of n, a(n) for n=1..54.

Wikipedia, Prime k-tuple.

Crossrefs

Cf. A066099, A387381, A387383.

Sequence in context: A088007 A302299 A227992 * A175299 A088008 A067720

Adjacent sequences: A387379 A387380 A387381 * A387383 A387384 A387385

Keyword

nonn

Author

Pontus von Brömssen, Aug 29 2025

Status

approved