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A337815

Primes p such that p+q = r*(s+1) where q is the next prime after p, and r and s are primes.

3, 5, 7, 11, 17, 19, 29, 41, 43, 47, 59, 71, 79, 89, 97, 101, 103, 107, 109, 113, 137, 149, 151, 163, 167, 173, 179, 191, 193, 197, 211, 223, 227, 229, 239, 241, 257, 269, 281, 283, 293, 311, 313, 337, 347, 349, 359, 397, 401, 419, 421, 431, 439, 457, 461, 479, 491, 503, 521, 523, 547, 557, 569

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OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

a(3)=7 is in the sequence because 7+11=3*(5+1) where 11 is the next prime after 7, and 7, 3 and 5 are primes.

MAPLE

filter:= proc(t) local q, p;

for p in numtheory:-factorset(t) do

q:= t/p-1;

if q > p and isprime(q) then return true fi