A178458 Abundant numbers of the form k^2 + 1.

2210, 3250, 24650, 94250, 117650, 199810, 214370, 310250, 351650, 485810, 499850, 700570, 727610, 744770, 915850, 986050, 1306450, 1545050, 1814410, 1841450, 1885130, 2582450, 2699450, 3052010, 3583450, 4028050, 4678570, 5094050, 5257850, 6466850, 7059650, 7144930

Offset: 1

Author

John L. Drost, Dec 22 2010

Keywords

• nonn

Examples

			2210 = 2*5*13*17, sigma(2210) = 4536 > 2*2210 and 47^2 + 1 = 2210.
		

Links

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

Crossrefs

Cf. A000203, A002522, A005101.

Programs

Mathematica

Select[Range[3000]^2 + 1, DivisorSigma[1, #] > 2# &]