A057372 - OEIS

A057372

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

64, 81, 96, 140, 153, 162, 288, 294, 561, 588, 972, 1056, 1250, 1344, 1881, 2070, 2205, 2880, 3125, 3168, 5073, 5100, 7500, 7776, 7840, 10206, 11466, 11481, 11840, 15680, 16416, 19360, 20384, 21250, 22833, 24300, 25070, 27500, 27885, 31008, 32805, 33600, 37664

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..43.

PROG

(PARI) is(k) = fordiv(k, y, if(issquare(k^2 - 4*y^3 - 4*(k/y)^3), return(1))); 0; \\ Jinyuan Wang, May 02 2021

CROSSREFS

Cf. A057369, A057370, A057371, A057373, A057443.

Sequence in context: A057371 A045286 A334825 * A374938 A057442 A141817

Adjacent sequences: A057369 A057370 A057371 * A057373 A057374 A057375

KEYWORD

nonn

AUTHOR

Naohiro Nomoto, Sep 24 2000

EXTENSIONS

New name and more terms from Jinyuan Wang, May 02 2021

STATUS

approved