A275516 Table read by rows: list of prime triples of the form (p, p+4, p+6).
7, 11, 13, 13, 17, 19, 37, 41, 43, 67, 71, 73, 97, 101, 103, 103, 107, 109, 193, 197, 199, 223, 227, 229, 277, 281, 283, 307, 311, 313, 457, 461, 463, 613, 617, 619, 823, 827, 829, 853, 857, 859, 877, 881, 883, 1087, 1091, 1093, 1297, 1301, 1303, 1423, 1427, 1429
Offset: 1
Examples
The table starts: 7, 11, 13; 13, 17, 19; 37, 41, 43; ...
Links
- C. K. Caldwell, Top Twenty page, Triplet
- Eric Weisstein's World of Mathematics, Prime Triplet
- Wikipedia, Prime triple
- Index entries for primes, gaps between
Programs
-
Magma
&cat[[p, p+4, p+6]: p in PrimesUpTo(1423) | p mod 30 in {7, 13} and IsPrime(p+4) and IsPrime(p+6)]; -
Mathematica
Prime@ Range[#, # + 2] &@ PrimePi@ Select[Prime@ Range@ 240, Times @@ Boole@ PrimeQ[# + {4, 6}] > 0 &] // Flatten (* Michael De Vlieger, Aug 02 2016 *)
Formula
a(3*n-2) = A022005(n).
Comments