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

1,1

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

Mathematica

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

Crossrefs

Cf. A046933, A209618, A098015.

Sequence in context: A227030 A049591 A176180 * A058620 A038910 A035497

Adjacent sequences: A209620 A209621 A209622 * A209624 A209625 A209626

Keyword

nonn

Author

Lekraj Beedassy, Mar 10 2012

Status

approved