A338386 The smallest number from the n-membered group of single (non-twin) primes.

23, 47, 79, 79, 353, 353, 353, 353, 353, 353, 673, 673, 673, 673, 673, 673, 673, 673, 8641, 8641, 8641, 8641, 13411, 13411, 13411, 14633, 14633, 24439, 24439, 24439, 24439, 24439, 24439, 24439, 24439, 24439, 24439, 24439, 24439, 24439, 62303, 62303, 62303, 62303

Offset: 1

Author

Todor Szimeonov, Oct 23 2020

Keywords

• nonn

Comments

Note that "single" means both non-twin and not 2.

Links

• Todor Szimeonov, Primes - four conjectures

Crossrefs

Cf. A007510, A111950.

Programs

Mathematica

c = cm = s1 = 0; p = 3; q = 5; s = {}; Do[If[c == 0, s1 = q]; r = NextPrime[q]; If[r > q + 2 && q > p + 2, c++, c = 0]; If[c > cm, cm = c; AppendTo[s, s1]]; p = q; q = r, {10^4}]; s (* Amiram Eldar, Oct 25 2020 *)

Extensions

More terms from Amiram Eldar, Oct 25 2020