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

1,1

Links

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

Example

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.

Mathematica

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

Crossrefs

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

Cf. A001014 (6th powers).

Sequence in context: A056102 A218564 A234880 * A145298 A145299 A328894

Adjacent sequences: A218562 A218563 A218564 * A218566 A218567 A218568

Keyword

nonn

Author

Michel Lagneau, Nov 02 2012

Status

approved