A209624 Primes separated from their previous adjacent primes by a prime number of successive composites.

11, 17, 23, 29, 37, 41, 47, 53, 59, 67, 71, 79, 83, 89, 97, 101, 107, 113, 127, 131, 137, 157, 163, 167, 173, 179, 197, 211, 223, 227, 233, 239, 257, 263, 269, 277, 281, 307, 311, 317, 331, 337, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 439, 443, 449

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

a(n) = A151800(A209617).

Example

a(1)=11 is the first prime separated from the previous prime (7) by a prime number (3) of successive composites, namely, 10, 9, 8.

Mathematica

Select[Prime[Range[2, 100]], PrimeQ[# - NextPrime[#, -1] - 1] &] (* T. D. Noe, Mar 12 2012 *)
Select[Partition[Prime[Range[100]], 2, 1], PrimeQ[#[[2]]-#[[1]]-1]&][[All, 2]] (* Harvey P. Dale, Jul 14 2020 *)

Crossrefs

Cf. A209617.

Sequence in context: A171125 A156781 A175888 * A243153 A280326 A160129

Adjacent sequences: A209621 A209622 A209623 * A209625 A209626 A209627

Keyword

nonn

Author

Lekraj Beedassy, Mar 10 2012

Status

approved