%I #7 Dec 16 2013 13:00:40

%S 1,7,13,15,25,27,37,55,57,93,97,123,133,163,175,177,207,223,235,247,

%T 253,265,267,343,363,385,405,417,427,445,463,483,487,505,553,583,597,

%U 603,627,735,753,757,793,805,807,925,937,967,993,1035,1045,1047,1177,1197

%N Numbers n such that n+k, n+k^2 and n+k^4, are all prime, where k=4.

%H K. D. Bajpai, <a href="/A233747/b233747.txt">Table of n, a(n) for n = 1..5250</a>

%e 13 is in the sequence because 13+4= 17, 13+4^2= 29, 13+4^4= 269, are all prime.

%e 27 is in the sequence because 27+4= 31, 27+4^2= 43, 27+4^4= 283, are all prime.

%p KD := proc() local a,b,d,k; k:=4;a:=n+k;b:=n+k^2;d:=n+k^4;if isprime(a)and isprime(b) and isprime(d) then RETURN (n); fi; end: seq(KD(), n=1..10000);

%Y Cf. A000040 (the prime numbers).

%K nonn

%O 1,2

%A _K. D. Bajpai_, Dec 15 2013