OFFSET
1,1
COMMENTS
None of the terms <= 10^7, is the smaller of twin primes.
78781 is the first term that is greater of twin primes; 78781 - 2 = 78779 is prime.
EXAMPLE
6353 is a term because it is the initial member of 6 consecutive primes {6353, 6359, 6361, 6367, 6373, 6379} = {a, b, c, d, e, f}; and (a + f) = (b + e), (a + e) = (b + d) and (c + f) = (d + e).
MAPLE
MATHEMATICA
Select[Partition[Prime@ Range[10^5], 6, 1], Function[{a, b, c, d, e, f}, And[(a + f) == (b + e), (a + e) == (b + d), (c + f) == (d + e)]] @@ # &][[All, 1]] (* Michael De Vlieger, Sep 22 2017 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
K. D. Bajpai, Sep 22 2017
STATUS
approved