OFFSET
1,1
COMMENTS
The complementary sequence that include the numbers k which do satisfy 2*(p - k) = q + k is {1, 3, 5, 9, 11, 13, 19, 21, 23, 25, 27, 31, 33, 35, 41, 43, 45, 49, 53, 57, 59, ...}. The number 7 does not satisfy the formula, so is the first term of sequence.
The terms of the sequence are the multiples of 3 not included in A062234 and divided by 3.
EXAMPLE
7 is a term because 2*(p - 7) <> q + 7 for every p, q consecutive prime numbers. See comments.
PROG
(PARI) v=vector(1000); forstep(k=1, 299, 2, forprime(n=2, 1000, p=nextprime(n+1); if(2*(n-k)==p+k, v[k]=1; break))); forstep(k=1, 250, 2, if(v[k]==0, print1(k", ")))
CROSSREFS
KEYWORD
nonn
AUTHOR
Dimitris Valianatos, Nov 14 2019
STATUS
approved