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A209624
Primes separated from their previous adjacent primes by a prime number of successive composites.
2
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
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
KEYWORD
nonn
AUTHOR
Lekraj Beedassy, Mar 10 2012
STATUS
approved