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Son primes of order 7.
15

%I #11 Mar 17 2020 03:23:56

%S 3,5,11,17,23,29,31,37,43,47,53,61,67,73,83,103,107,113,131,137,139,

%T 163,173,179,181,191,193,197,199,223,229,251,269,271,281,283,293,311,

%U 353,359,367,389,401,419,421,439,443,457,463,467,499,503,509,521,547,557

%N Son primes of order 7.

%C For smallest son primes of order n see A136027 (also definition). For son primes of order 1 see A023208. For son primes of order 2 see A023218. For son primes of order 3 see A023225. For son primes of order 4 see A023235. For son primes of order 5 see A136082. For son primes of order 6 see A136083.

%H Amiram Eldar, <a href="/A136084/b136084.txt">Table of n, a(n) for n = 1..10000</a>

%t n = 7; a = {}; Do[If[PrimeQ[(Prime[k] - 2n)/(2n + 1)], AppendTo[a, (Prime[k] - 2n)/(2n + 1)]], {k, 1, 1000}]; a

%t q=14;lst={};Do[p=Prime[n];If[PrimeQ[(q+1)*p+q],AppendTo[lst,p]],{n,6!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Mar 10 2009 *)

%Y Cf. A023208, A023218, A023225, A023235, A094524, A136019, A136020, A136026, A136027, A023208, A136082, A136083, A136085, A136086, A136087, A136088, A136089, A136090, A136091.

%K nonn

%O 1,1

%A _Artur Jasinski_, Dec 12 2007