OFFSET
1,1
COMMENTS
Any prime p in this sequence is such that p = (p-9)/2 + (p+7)/2 + 1, where (p-9)/2 and (p+7)/2 are also primes and they differ by 8.
This sequence is infinite under Dickson's conjecture. - Charles R Greathouse IV, Jul 08 2016
EXAMPLE
19 = 5 + 13 + 1. Note that, (19-9)/2 = 5 and (19+7)/2 = 13 and the prime pairs 5 and 13 differ by 8.
31 = 11 + 19 + 1. Note that, (31-9)/2 = 11 and (31+7)/2 = 19 and the prime pairs 11 and 19 differ by 8.
MATHEMATICA
Select[2 # + 9 &@ Select[Prime@ Range[10^3], PrimeQ[# + 8] &], PrimeQ] (* Michael De Vlieger, Jun 26 2016 *)
PROG
(PARI) lista(nn)=forprime(p=3, nn, if (isprime(p+8) && isprime(q=2*p+9), print1(q, ", "))); \\ Michel Marcus, Jun 25 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
Debapriyay Mukhopadhyay, Jun 25 2016
STATUS
approved