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Daughter primes of order 5.
10

%I #7 Mar 15 2020 05:08:05

%S 3,7,19,31,37,43,61,67,79,103,163,193,199,211,271,277,313,331,337,367,

%T 373,379,397,421,487,499,523,547,571,577,613,673,691,709,733,757,787,

%U 823,829,859,907,919,967,991,997,1033,1051,1117,1123,1129,1237,1249

%N Daughter primes of order 5.

%C For smallest daughter primes of order n see A136019 (also definition). For daughter primes of order 1 see A088878. For daughter primes of order 2 see A136051. For daughter primes of order 3 see A136052. For daughter primes of order 4 see A136053.

%H Amiram Eldar, <a href="/A136054/b136054.txt">Table of n, a(n) for n = 1..10000</a>

%t n = 5; a = {}; Do[If[PrimeQ[(Prime[k] + 2n)/(2n + 1)], AppendTo[a, (Prime[k] + 2n)/(2n + 1)]], {k, 1, 1500}]; a

%Y Cf. A088878, A091180, A136019, A136020, A136051, A136052, A136053, A136055, A136056, A136057, A136058, A136059, A136060.

%K nonn

%O 1,1

%A _Artur Jasinski_, Dec 12 2007