A309365 The number of primes between two consecutive lucky numbers, bounds excluded.

1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 3, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 3, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 3, 0, 0, 0, 1, 1, 1, 1, 0, 3, 1, 0, 1, 1, 0, 1, 0, 0, 1, 3, 2, 1, 0, 1, 0, 0, 1, 3, 0, 0

Offset

1,6

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

a(1) = 1 because between the first two lucky numbers (1,3) there is one prime (2).
a(3) = 0 because between 7 and 9 there are no primes.
a(6) = 2 because between 15 and 21 there are two primes (17, 19).

Prog

(SageMath) [len(prime_range(A000959[i]+1, A000959[i+1])) for i in range(200)]

Crossrefs

Cf. A000040, A000959, A309367.

Sequence in context: A087812 A288384 A113045 * A204179 A204244 A083093

Adjacent sequences: A309362 A309363 A309364 * A309366 A309367 A309368

Keyword

nonn

Author

Hauke Löffler, Jul 25 2019

Status

approved