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%I #5 Sep 08 2022 08:45:51
%S 7,43,47,67,97,137,307,397,467,1063,1153,1373,1427,1453,1523,1567,
%T 2647,2857,2927,3613,3767,4513,6047,6997,7433,7477,8093,8237,8363,
%U 8693,8803,8863,9133,9377,11093,11173,11437,11593,12037,12097,12163,12437,12703
%N Primes p such that 2*p+3, 4*p+9 and 16*p+45 are also prime.
%H Harvey P. Dale, <a href="/A175159/b175159.txt">Table of n, a(n) for n = 1..1000</a>
%e For p=7 (17,37,157); p=43, (89,181,733);
%t okQ[n_]:=And@@PrimeQ[{2n+3,4n+9,16n+45}]; Select[Prime[Range[1600]],okQ] (* _Harvey P. Dale_, Oct 14 2012 *)
%o (Magma) [ p: p in PrimesUpTo(50000) | IsPrime(p) and IsPrime(2*p+3) and IsPrime(4*p+9) and IsPrime(16*p+45)]
%K nonn
%O 1,1
%A _Vincenzo Librandi_, Mar 08 2010