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Numbers n such that numbers 24n+5 are primes.
1

%I #8 Jul 14 2019 14:06:26

%S 0,1,2,4,6,7,8,11,12,13,16,19,21,23,27,28,29,32,33,34,39,42,44,46,49,

%T 51,53,54,57,62,67,68,71,72,78,79,81,82,83,86,89,92,93,96,97,98,99,

%U 103,106,109,112,114,116,118,119,121,123,134,141,142,144,147,148,149,153,154

%N Numbers n such that numbers 24n+5 are primes.

%C Numbers n such that:

%C 24n+1 is prime see A111174, primes 24n+1 see A107008

%C 24n+5 is prime see A139527, primes 24n+5 see A107003

%C 24n+7 is prime see A139483, primes 24n+7 see A107006

%C 24n+11 is prime A139528, primes 24n+11 see A107007

%C 24n+13 is prime see A139529, primes 24n+13 see A139530

%C 24n+17 is prime see A139531, primes 24n+17 see A107181

%C 24n+19 is prime see A139532, primes 24n+19 see A141373

%C 24n+23 is prime see A131210, primes 24n+23 see A134517

%H Harvey P. Dale, <a href="/A139527/b139527.txt">Table of n, a(n) for n = 1..1000</a>

%t a = {}; Do[If[PrimeQ[24 n + 5], AppendTo[a, n]], {n, 0, 200}]; a

%t Select[Table[(Prime[n]-5)/24,{n,800}],IntegerQ] (* _Harvey P. Dale_, Feb 25 2016 *)

%K nonn

%O 1,3

%A _Artur Jasinski_, Apr 25 2008