Solutions of n=x3+y3+z3
500 <= n <= 599, not equal to 4 or 5 (mod 9) , 0 <= |x| <= |y| <= |z| <= 1010
n x y z * 501 -19895059 -26109316 29500376 502 -126 -163 185 503 -1 -2 8 504 455 1684 -1695 505 1 -2 8 506 -5 -14 15 507 676 10147 -10148 510 -1 -1 8 511 0 -1 8 512 0 0 8 513 0 1 8 514 1 1 8 515 3 -8 10 * 516 87856 130585 -142685 519 -1 2 8 520 -3 -13 14 521 1 2 8 522 5 -11 12 523 -7 -11 13 524 18 19 -23 525 16 34 -35 528 218 653 -661 529 -15 -16 20 * 530 -11079901 -45404321 45623198 531 -2 3 8 532 4 5 7 533 4 -12 13 * 534 4769174146 5441884459 -6460362461 537 17 26 -28 538 -1 3 8 539 0 3 8 540 1 3 8 541 -12 -27 28 * 542 -47673 -207056 207895 543 -116 -212 223 546 -1 -13 14 547 2 3 8 548 1 -13 14 549 -3 4 8 550 12 13 -15 551 -2 6 7 552 21691 36088 -38531 555 2 -13 14 * 556 59543 1379046 -1379083 557 5 6 6 558 -1 6 7 559 0 6 7 560 1 6 7 561 -5 7 7 * 564 53872419107 -1300749634 -53872166335 565 17 17 -21 566 3 3 8 567 2 6 7 568 -11 -13 16 569 -33 -77 79 570 268 529 -551 573 -4 5 8 574 3 -13 14 575 -1 4 8 576 -7 -17 18 577 1 4 8 578 166 181 -219 579 ? ? ? 582 -25 -73 74 583 -17419 -48223 48969 584 15 30 -31 585 -16 -39 40 586 3 6 7 587 12 19 -20 * 588 -3650204951 -5097345554 5657478787 591 -145 -244 260 592 47 185 -186 593 5 5 7 594 -2 -9 11 595 21 37 -39 596 -2 -5 9 597 2461 4783 -4991 * 501 : Kenji Koyama, Yukio Tsuruoka, and Hiroshi Sekigawa, On Searching for Solutions of the Diophantine Equation x3+y3+z3=n, Math. Comp. 55(1997),841-851.
* 516, 542 : Elkies (1996)
* 530, 534, 556, 588 : D. J. Bernstein (July 29, 2001) http://cr.yp.to/threecubes.html
* 564 : Leonid Durman (April 19, 2007)
http://www.uni-math.gwdg.de/jahnel/linkstopaperse.html
http://www.uni-math.gwdg.de/jahnel/Arbeiten/Liste/threecubes_20070419.txt
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