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
700 <= n <= 799, max{|x|,|y|,|z|} <= 4*106.
| n | x | y | z |
|---|
| 700 | -3 | 9 | -1 |
| 701 | -21 | 22 | -7 |
| 702 | 2 | 2 | 7 |
| 703 | -9 | 10 | 6 |
| 704 | -3 | 9 | 1 |
| 705 | -2 | 3 | 7 |
| 706 | 319 | 763 | -620 |
| 707 | 104 | 605 | -481 |
| 708 | 3 | -7 | 8 |
| 709 | 4 | 11 | -7 |
| 710 | -18 | 20 | -9 |
| 711 | -4 | 7 | 6 |
| 712 | -1 | 3 | 7 |
| 713 | 0 | 3 | 7 |
| 714 | 1 | 3 | 7 |
| 715 | 190 | -203 | 91 |
| 716 | -13 | 17 | -10 |
| 717 | -3 | 14 | -10 |
| 718 | 5 | 7 | 5 |
| 719 | -2 | 9 | -1 |
| 720 | 119 | 121 | -120 |
| 721 | 2 | 3 | 7 |
| 722 | -70 | 82 | -47 |
| 723 | -3 | 4 | 7 |
| 724 | 3385 | 3955 | -3692 |
| 725 | -1867 | 2318 | -1438 |
| 726 | 6 | 8 | -1 |
| 727 | 7 | 8 | -4 |
| 728 | -1 | 9 | 0 |
| 729 | 0 | 9 | 0 |
| 730 | 6 | 8 | 1 |
| 731 | 0 | 9 | 1 |
| 732 | 1 | 9 | 1 |
| 733 | 4 | -11 | 10 |
| 734 | -520 | -700 | 623 |
| 735 | -3 | 8 | 5 |
| 736 | -31 | -49 | 42 |
| 737 | 2 | 9 | 0 |
| 738 | -8 | 10 | 5 |
| 739 | 2 | 9 | 1 |
| 740 | 3 | 3 | 7 |
| 741 | -944 | -1155 | 1060 |
| 742 | -2 | 4 | 7 |
| 743 | -1 | 14 | -10 |
| 744 | -1 | 9 | 2 |
| 745 | 4 | -7 | 8 |
| 746 | 1 | 9 | 2 |
| 747 | -4 | 5 | 7 |
| 748 | -3 | 7 | 6 |
| 749 | -1 | 4 | 7 |
| 750 | 0 | 4 | 7 |
| 751 | 1 | 4 | 7 |
| 752 | 419 | -709 | 521 |
| 753 | 2 | 9 | 2 |
| 754 | -2 | 8 | 5 |
| 755 | -1007 | 8148 | -6463 |
| 756 | 11 | 17 | -14 |
| 757 | 28 | -99 | 78 |
| 758 | 2 | 4 | 7 |
| 759 | -8 | -9 | 10 |
| 760 | -41 | 43 | -17 |
| 761 | -1 | 8 | 5 |
| 762 | 0 | 8 | 5 |
| 763 | 1 | 8 | 5 |
| 764 | -59 | 63 | -28 |
| 765 | 5 | 8 | 4 |
| 766 | 3 | 13 | -9 |
| 767 | -2 | 7 | 6 |
| 768 | 19 | 93 | -74 |
| 769 | 43 | 490 | -389 |
| 770 | 2 | 8 | 5 |
| 771 | 3 | 14 | -10 |
| 772 | 3 | 9 | 2 |
| 773 | 5 | 6 | 6 |
| 774 | -1 | 7 | 6 |
| 775 | 0 | 7 | 6 |
| 776 | 1 | 7 | 6 |
| 777 | 3 | 4 | 7 |
| 778 | -56 | 64 | -35 |
| 779 | 5 | 92 | -73 |
| 780 | 129 | 131 | -130 |
| 781 | -3 | -6 | 8 |
| 782 | 6 | 8 | 3 |
| 783 | 2 | 7 | 6 |
| 784 | -3 | 5 | 7 |
| 785 | -7 | 10 | 4 |
| 786 | -6 | 10 | 1 |
| 787 | -11 | 82 | -65 |
| 788 | ? | ? | ? |
| 789 | 3 | 8 | 5 |
| 790 | 64 | -112 | 83 |
| 791 | 2 | 9 | 3 |
| 792 | 31 | 35 | -33 |
| 793 | 4 | 9 | 0 |
| 794 | 5 | -11 | 10 |
| 795 | 4 | 9 | 1 |
| 796 | -23 | 25 | -11 |
| 797 | -13 | 14 | 5 |
| 798 | 132 | 134 | -133 |
| 799 | 138 | -147 | 65 |
E-mail : kc2h-msm@asahi-net.or.jpHisanori Mishima