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%I #10 Aug 09 2017 23:12:06
%S 7,37,163,9157,9277,15667,53593,56893,111577,135193,137383,142543,
%T 305407,467527,470647,476023,480043,527377,607093,671353,761377,
%U 817147,885943,891643,904663,1080073,1116637,1140847,1172803,1233523
%N a(n) and a(n)+4^k are primes at least for k=1,2,3,4,5.
%H Michael De Vlieger, <a href="/A049495/b049495.txt">Table of n, a(n) for n = 1..1000</a>
%e 7, 7+4=11, 7+16=23, 7+64=71, 7+256=263, 7+1024=1031 are all primes; the smallest such a sextuple is {7,11,23,71,263,1031}.
%t Select[Prime@ Range[10^5], Function[p, AllTrue[Range@ 5, PrimeQ[p + 4^#] &]]] (* _Michael De Vlieger_, Aug 09 2017 *)
%o (PARI) isok(n) = isprime(n) && isprime(n+4) && isprime(n+16) && isprime(n+64) && isprime(n+256) && isprime(n+1024); \\ _Michel Marcus_, Dec 22 2013
%Y Cf. A023200, A049492-A049494, A049496-A049500.
%K nonn
%O 1,1
%A _Labos Elemer_