%I #4 Aug 17 2014 14:05:10
%S 9,24,169,1479,2964,3039,3299,4084,4474,5534,5574,6449,7359,7409,7529,
%T 10789,10879,10994,13819,14324,18574,19709,20329,20749,22179,24529,
%U 25089,25104,25229,25404,27714,27779,29849,30234,32369,33384,34799
%N Numbers n such that f(n), f(n+1) and f(n+2) are prime, f(m)=72*m^2+7.
%C Apparently there are no four subsequent numbers m with f(m) prime.
%H Harvey P. Dale, <a href="/A121089/b121089.txt">Table of n, a(n) for n = 1..1000</a>
%t Reap[Do[If[PrimeQ[72*n^2+7]&&PrimeQ[72*(n+1)^2+7]&&PrimeQ[72*(n+2)^2+7],Sow[n]],{n,0,300000}]][[2,1]]
%t Flatten[Position[Partition[Table[PrimeQ[72n^2+7],{n,35000}],3,1],{True,True,True}]] (* _Harvey P. Dale_, Aug 17 2014 *)
%Y Cf. A007522, A121068.
%K nonn
%O 1,1
%A _Zak Seidov_, Aug 11 2006
|