Solutions of n=x3+y3+z3
600 <= n <= 699, not equal to 4 or 5 (mod 9) , 0 <= |x| <= |y| <= |z| <= 1010
n x y z 600 (8762318) (870406166) (-870406462) 601 -4 -4 9 602 6 -7 9 603 3 4 8 604 0 -5 9 605 1 -5 9 * 606 761302981 2638615657 -2659573862 * 609 20129024420 30430569722 -33121417879 610 -3 5 8 611 4 -13 14 612 2 -5 9 613 5 -8 10 614 7 -9 10 615 -11 -17 19 * 618 5368580 15435275 -15648793 619 23 29 -33 620 -11 -25 26 621 -403 -434 528 622 -4 7 7 623 4 6 7 624 650695 758290 -892751 627 ? ? ? 628 776 951 -1099 629 -2 5 8 630 -3 -7 10 631 3 -5 9 632 1 -14 15 633 ? ? ? 636 -1 5 8 637 0 5 8 638 1 5 8 639 -6 7 8 640 319 361 -430 641 -2312 -3908 4161 642 -1250 -4991 5017 645 2 5 8 646 -171 -175 218 647 -10 -12 15 648 19 45 -46 649 -2 -7 10 650 -6 -11 13 651 -77 -134 142 654 -73 -73 92 655 -18 -46 47 656 -1 -7 10 657 -2 -4 9 658 1 -7 10 659 -3 7 7 * 660 -159116 -199163 228487 * 663 -105841 -1068592 1068938 664 3 5 8 665 0 -4 9 666 1 -4 9 667 16 18 -21 668 4 -5 9 669 10 10 -11 672 5 -13 14 673 2 -4 9 674 7 -10 11 675 46 179 -180 676 -78 -197 201 677 -140 -956 957 678 -2 7 7 681 -7 8 8 682 729 1313 -1384 683 -15 -25 27 684 5 6 7 685 -1 7 7 686 -35 -120 121 687 1 7 7 690 -43 -163 164 691 300 614 -637 692 3 -4 9 693 44 45 -56 694 2 7 7 695 4 -14 15 696 33685 45634 -51077 699 -22 -61 62 * 606, 609 : D. J. Bernstein (July 29, 2001) http://cr.yp.to/threecubes.html
* 618 : 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.
* 660, 663 : Elkies (1996)
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