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

Author

Lekraj Beedassy, Mar 10 2012

Keywords

• nonn

Examples

			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.
		

Links

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

Crossrefs

Cf. A209617.

Programs

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 *)

Formula

a(n) = A151800(A209617).