A057370 Numbers k that can be expressed as k = w+x = y*z with w*x = (y+z)^3 where w, x, y, and z are all positive integers.

1024, 1296, 1458, 2240, 2500, 2592, 3072, 3744, 3750, 5642, 5796, 6480, 6561, 8526, 9900, 10400, 11250, 11340, 12005, 14580, 15552, 22500, 25296, 29792, 40850, 46080, 47025, 52500, 57024, 76832, 78750, 99008, 101376, 107604, 111537, 122636, 138125, 140625, 153900

Offset: 1

Author

Naohiro Nomoto, Sep 23 2000

Keywords

• nonn

Examples

			a(1) = 1024 = 512+512 = 32*32; 512*512 = (32+32)^3.
		

Crossrefs

Cf. A057369, A057371, A057372, A057373, A057445.

Programs

PARI

is(k) = fordiv(k, y, if(issquare(k^2 - 4*(y+k/y)^3), return(1))); 0; \\ Jinyuan Wang, May 01 2021

Extensions

More terms and clearer definition from Jinyuan Wang, May 01 2021