A209623 Primes separated from their adjacent next primes by a prime number of successive composites.

7, 13, 19, 23, 31, 37, 43, 47, 53, 61, 67, 73, 79, 83, 89, 97, 103, 109, 113, 127, 131, 151, 157, 163, 167, 173, 193, 199, 211, 223, 229, 233, 251, 257, 263, 271, 277, 293, 307, 313, 317, 331, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 433, 439, 443

Offset: 1

Author

Lekraj Beedassy, Mar 10 2012

Keywords

• nonn

Comments

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

Links

• K. D. Bajpai, Table of n, a(n) for n = 1..8000

Crossrefs

Cf. A046933, A209618, A098015.

Programs

Mathematica

Select[Prime[Range[100]], PrimeQ[NextPrime[#] - # - 1] &] (* T. D. Noe, Mar 12 2012 *)