A218565 - OEIS

%I #13 Jul 04 2020 05:51:38

%S 1068,14557,16693,30182,32318,45807,47943,61432,63568,77057,79193,

%T 92682,94818,108307,110443,123932,126068,139557,141693,155182,157318,

%U 170807,172943,186432,188568,202057,204193,217682,219818,233307,235443,248932,251068,264557

%N Numbers k such that k^2 + 1 is divisible by a 6th power.

%H Amiram Eldar, <a href="/A218565/b218565.txt">Table of n, a(n) for n = 1..10000</a>

%e 1068 is in the sequence because 1068^2 + 1 = 5^6 * 73.

%e 390112 is in the sequence because 390112^2 + 1 = 5 * 13 * 17 ^ 6 * 97.

%e 1999509 is in the sequence because 1999509^2 + 1 = 2 * 13 ^ 6 * 29 * 14281.

%t Select[Range[2,27000],Max[Transpose[FactorInteger[#^2+1]][[2]]]>5&]

%Y Cf. A002522, A049532, A034939, A218562, A218563, A218564.

%Y Cf. A001014 (6th powers).

%K nonn

%O 1,1

%A _Michel Lagneau_, Nov 02 2012