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