n=x3+y3+2z3
D5 Sum of four cubes.
in Richard K. Guy, "Unsolve Problems in Number Theory" Second Edition, Springer-Verlag, 1994
Solutions of n=x3+y3+2z3
600 <= n <= 699, max{|x|,|y|,|z|} <= 4*106.
| n | x | y | z |
| 600 | -1 | 9 | -4 |
| 601 | 2 | 7 | 5 |
| 602 | 1 | 9 | -4 |
| 603 | -7 | -8 | 9 |
| 604 | -5 | 9 | 0 |
| 605 | 7 | 8 | -5 |
| 606 | -5 | 9 | 1 |
| 607 | 10 | 97 | -77 |
| 608 | -91 | 251 | -196 |
| 609 | 2 | 9 | -4 |
| 610 | -42 | -78 | 65 |
| 611 | -4 | 9 | -3 |
| 612 | 101 | 103 | -102 |
| 613 | 6 | 7 | 3 |
| 614 | -2 | -4 | 7 |
| 615 | 7 | -12 | 10 |
| 616 | -11 | 13 | -5 |
| 617 | -4 | -7 | 8 |
| 618 | -3 | 11 | -7 |
| 619 | -5 | 14 | -10 |
| 620 | 3 | 7 | 5 |
| 621 | 4 | 5 | 6 |
| 622 | 0 | -4 | 7 |
| 623 | 1 | -4 | 7 |
| 624 | 103 | 105 | -104 |
| 625 | 4 | -5 | 7 |
| 626 | 14 | -82 | 65 |
| 627 | 11 | -12 | 8 |
| 628 | 3 | 9 | -4 |
| 629 | -14 | 15 | -1 |
| 630 | 2 | -4 | 7 |
| 631 | -14 | 15 | 0 |
| 632 | -3 | -3 | 7 |
| 633 | -14 | 15 | 1 |
| 634 | 31 | -35 | 19 |
| 635 | 5 | 8 | -1 |
| 636 | -7 | 9 | 5 |
| 637 | 5 | 8 | 0 |
| 638 | 7 | -9 | 8 |
| 639 | -1 | 8 | 4 |
| 640 | 7 | 9 | -6 |
| 641 | 1 | 8 | 4 |
| 642 | -3 | -11 | 10 |
| 643 | 2926 | 4405 | -3809 |
| 644 | -1 | 11 | -7 |
| 645 | 0 | 11 | -7 |
| 646 | 1 | 11 | -7 |
| 647 | -1 | 6 | 6 |
| 648 | 25 | 29 | -27 |
| 649 | 1 | 6 | 6 |
| 650 | -5 | 7 | 6 |
| 651 | -2 | -3 | 7 |
| 652 | -119 | 121 | -35 |
| 653 | 5 | 8 | 2 |
| 654 | -3 | -7 | 8 |
| 655 | -7 | 10 | -1 |
| 656 | -9 | 11 | 3 |
| 657 | 4 | 7 | 5 |
| 658 | -1 | -3 | 7 |
| 659 | 0 | -3 | 7 |
| 660 | 1 | -3 | 7 |
| 661 | -2 | -11 | 10 |
| 662 | -10 | -10 | 11 |
| 663 | -4 | 9 | -1 |
| 664 | -8687 | 10685 | -6559 |
| 665 | -4 | 9 | 0 |
| 666 | -14 | 16 | -7 |
| 667 | 2 | -3 | 7 |
| 668 | -1 | -11 | 10 |
| 669 | 0 | -11 | 10 |
| 670 | -2 | -2 | 7 |
| 671 | ? | ? | ? |
| 672 | 3 | 11 | -7 |
| 673 | -2 | -7 | 8 |
| 674 | 6 | 8 | -3 |
| 675 | -4 | 13 | -9 |
| 676 | 1 | 9 | -3 |
| 677 | -1 | -2 | 7 |
| 678 | 0 | -2 | 7 |
| 679 | 1 | -2 | 7 |
| 680 | -1 | -7 | 8 |
| 681 | 0 | -7 | 8 |
| 682 | 5 | 5 | 6 |
| 683 | -5 | -6 | 8 |
| 684 | -1 | -1 | 7 |
| 685 | 0 | -1 | 7 |
| 686 | 0 | 0 | 7 |
| 687 | 0 | 1 | 7 |
| 688 | 1 | 1 | 7 |
| 689 | 2 | -7 | 8 |
| 690 | 5 | -21 | 17 |
| 691 | 5 | 8 | 3 |
| 692 | -2415 | 2507 | -942 |
| 693 | -1 | 2 | 7 |
| 694 | 0 | 2 | 7 |
| 695 | 1 | 2 | 7 |
| 696 | 3 | -11 | 10 |
| 697 | -5 | 22 | -17 |
| 698 | -4 | 8 | 5 |
| 699 | -7 | 12 | -7 |
E-mail : kc2h-msm@asahi-net.or.jpHisanori Mishima