A277063 Number of primes <= n-th Bell number.

0, 0, 1, 3, 6, 15, 46, 151, 570, 2376, 10961, 54941, 297220, 1720725, 10602541, 69176095, 475881437, 3439093081, 26026621617, 205694058211, 1693554793730, 14494778231067, 128711956613875, 1183763037547762, 11258075170582653, 110558809039675629, 1119649516271861536

Offset

0,4

Links

Table of n, a(n) for n=0..26.

Formula

a(n) = A000720(A000110(n)). - Michel Marcus, Nov 10 2016

Mathematica

Table[PrimePi[BellB[n]], {n, 0, 20}]

Prog

(Magma) [#PrimesUpTo(Bell(n)): n in [0..14]];

Crossrefs

Cf. A000110, A054782, A277062.

Sequence in context: A056382 A028401 A005655 * A051169 A051610 A322851

Adjacent sequences: A277060 A277061 A277062 * A277064 A277065 A277066

Keyword

nonn

Author

Vincenzo Librandi, Nov 10 2016

Extensions

a(21)-a(26) from Charles R Greathouse IV, Nov 10 2016

Status

approved