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A248372 Numbers m such that both p = 52*m + 1 and q = 52*p + 1 are prime. 1

%I #17 Oct 08 2014 16:53:22

%S 36,39,60,126,171,189,195,300,315,405,420,435,504,540,570,606,720,756,

%T 816,876,960,1089,1221,1224,1260,1329,1365,1371,1389,1404,1530,1554,

%U 1674,1740,1785,1791,1914,1959,2085,2244,2304,2334,2376,2451,2454,2520,2631,2646,2715,2799,2976

%N Numbers m such that both p = 52*m + 1 and q = 52*p + 1 are prime.

%C All terms are divisible by 3, because if m == 1 or 2 (mod 3), either q or p is divisible by 3.

%H Jens Kruse Andersen, <a href="/A248372/b248372.txt">Table of n, a(n) for n = 1..10000</a>

%t s={};Do[If[PrimeQ[p=52*n+1)]&&PrimeQ[52*p+1],AppendTo[s,n]],{n,3000}];s

%o (PARI)

%o for(n=1,10^4,p=52*n+1;if(isprime(p)&&isprime(52*p+1),print1(n,", "))) \\ _Derek Orr_, Oct 06 2014

%Y Subsequence of A248221.

%Y Cf. A033210, A142508, A171517, A248221, A248368.

%K nonn

%O 1,1

%A _Zak Seidov_, Oct 05 2014

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Last modified September 15 06:13 EDT 2024. Contains 375931 sequences. (Running on oeis4.)