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