A218574 Numbers k such that k^2 + 1 is divisible by a 7th power.

32318, 45807, 110443, 123932, 188568, 202057, 266693, 280182, 344818, 358307, 422943, 436432, 501068, 514557, 579193, 592682, 657318, 670807, 735443, 748932, 813568, 827057, 891693, 905182, 969818, 983307

Offset: 1

Author

Michel Lagneau, Nov 02 2012

Keywords

• nonn

Examples

			32318 is in the sequence because 32318^2 + 1 =  5 ^ 7 * 29 * 461.
6826318 is in the sequence because 6826318^2 + 1 = 5 ^ 3 * 13 ^ 8 * 457.
		

Links

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

Crossrefs

Cf. A002522, A049532, A034939, A218562, A218563, A218564, A218565.

Cf. A001015 (7th powers).

Programs

Mathematica

Select[Range[2,1500000],Max[Transpose[FactorInteger[#^2+1]][[2]]]>6&]