A364535 a(n) is the number of subsets of the first n primes whose sum is not a prime.

1, 1, 1, 3, 9, 20, 44, 93, 191, 390, 787, 1600, 3250, 6563, 13227, 26609, 53484, 107588, 216413, 434894, 872834, 1750938, 3512454, 7043770, 14119562, 28300792, 56733873, 113746102, 228033527, 456999525, 915558925, 1834081043, 3674191081, 7361544506, 14749015536, 29545860199, 59169406092

Offset

0,4

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Formula

a(n) = 2^n - A071810(n).

a(n) = A000295(n) - A262765(n) + 1 for n > 2.

Crossrefs

Cf. A000040, A000295, A071810, A262765.

Sequence in context: A164680 A210634 A295148 * A176163 A203861 A073801

Adjacent sequences: A364532 A364533 A364534 * A364536 A364537 A364538

Keyword

nonn

Author

Darío Clavijo, Oct 20 2023

Status

approved