login
Numbers k such that {k, k+2, k+6, k+8, k+120, k+122, k+126, k+128} and either (k+30, k+32, k+36, k+38) or (k+90, k+92, k+96, k+98) are all prime.
0

%I #22 Apr 20 2023 10:10:43

%S 282005261771,783976940441,6341220302111,31007639083781,

%T 32488685841251,41199341106101,44686367247161,62176060129361,

%U 63866000186501,153678400278581,186138073442681,241720684176611,242151798378311,425712041296181,443552579937161,557863285811471

%N Numbers k such that {k, k+2, k+6, k+8, k+120, k+122, k+126, k+128} and either (k+30, k+32, k+36, k+38) or (k+90, k+92, k+96, k+98) are all prime.

%C Each term is the initial member of three prime quadruples (A007530) with the smallest possible difference of 120.

%H J. Brüggemann, <a href="http://ymmij.de/Nerd/p4/p4-3.pdf">The first triples of prime quadruples</a>. [broken link]

%H J. Brüggemann, <a href="http://ymmij.de/Nerd/p4/calculation.pdf">Calculating prime quadruples, its twins, triples and quadruples</a>. [broken link]

%Y Cf. A007530, A338868.

%K nonn

%O 1,1

%A _Hans H. Brüggemann_, Nov 27 2020