A218565 Numbers k such that k^2 + 1 is divisible by a 6th power.

1068, 14557, 16693, 30182, 32318, 45807, 47943, 61432, 63568, 77057, 79193, 92682, 94818, 108307, 110443, 123932, 126068, 139557, 141693, 155182, 157318, 170807, 172943, 186432, 188568, 202057, 204193, 217682, 219818, 233307, 235443, 248932, 251068, 264557

Offset: 1

Author

Michel Lagneau, Nov 02 2012

Keywords

• nonn

Examples

			1068 is in the sequence because 1068^2 + 1 = 5^6 * 73.
390112 is in the sequence because 390112^2 + 1 = 5 * 13 * 17 ^ 6 * 97.
1999509 is in the sequence because 1999509^2 + 1 = 2 * 13 ^ 6 * 29 * 14281.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

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

Cf. A001014 (6th powers).

Programs

Mathematica

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