A348286 Numbers k such that there exists 0 < a, b, c, d, e, f < k such that a + b = c + d = e + f and a*b = c*k + d , c*d = e*k + f.

26, 41, 46, 49, 61, 66, 81, 82, 101, 109, 129, 141, 145, 163, 170, 177, 186, 201, 204, 209, 217, 218, 225, 244, 248, 253, 257, 266, 280, 289, 290, 302, 316, 325, 329, 341, 342, 343, 352, 353, 356, 361, 375, 378, 381, 386, 389, 401, 409, 417, 419, 431, 433, 436, 442, 449, 451, 465

Offset: 1

Author

Naohiro Nomoto, Oct 10 2021

Keywords

• nonn
• easy

Examples

			For k = 26, a = 10, b = 15, c = 5, d = 20, e = 3, f = 22,
and 10*15 = 5*26 + 20, 5*20 = 3*26 + 22, 10 + 15 = 5 + 20 = 3 + 22.