%I
%S 32318,45807,110443,123932,188568,202057,266693,280182,344818,358307,
%T 422943,436432,501068,514557,579193,592682,657318,670807,735443,
%U 748932,813568,827057,891693,905182,969818,983307
%N Numbers n such that n^2 + 1 is divisible by a 7th power.
%e 32318 is in the sequence because 32318^2+1 = 5 ^ 7 * 29 * 461.
%e 6826318 is in the sequence because 6826318^2+1 = 5 ^ 3 * 13 ^ 8 * 457.
%t Select[Range[2,1500000],Max[Transpose[FactorInteger[#^2+1]][[2]]]>6&]
%Y Cf. A002522, A049532, A034939, A218562, A218563, A218564, A218565.
%K nonn
%O 1,1
%A _Michel Lagneau_, Nov 02 2012
