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
1 <= n <= 99, max{|x|,|y|,|z|} <= 4*106.
| n | x | y | z |
| 1 | 0 | 1 | 0 |
| 2 | 0 | 0 | 1 |
| 3 | 0 | 1 | 1 |
| 4 | 1 | 1 | 1 |
| 5 | -1 | 2 | -1 |
| 6 | 0 | 2 | -1 |
| 7 | -1 | 2 | 0 |
| 8 | 0 | 2 | 0 |
| 9 | 1 | 2 | 0 |
| 10 | 0 | 2 | 1 |
| 11 | 1 | 2 | 1 |
| 12 | 1 | 3 | -2 |
| 13 | -35 | -62 | 52 |
| 14 | -1 | -1 | 2 |
| 15 | 0 | -1 | 2 |
| 16 | 0 | 0 | 2 |
| 17 | 0 | 1 | 2 |
| 18 | 1 | 1 | 2 |
| 19 | -2 | 3 | 0 |
| 20 | -3 | 63 | -50 |
| 21 | -2 | 3 | 1 |
| 22 | -14 | 52 | -41 |
| 23 | -1 | 2 | 2 |
| 24 | -1 | 3 | -1 |
| 25 | 1 | 2 | 2 |
| 26 | -1 | 3 | 0 |
| 27 | 0 | 3 | 0 |
| 28 | 1 | 3 | 0 |
| 29 | 0 | 3 | 1 |
| 30 | 1 | 3 | 1 |
| 31 | 31 | 52 | -44 |
| 32 | 5 | -7 | 5 |
| 33 | 2 | 3 | -1 |
| 34 | 0 | -6 | 5 |
| 35 | 2 | 3 | 0 |
| 36 | 5 | 7 | -6 |
| 37 | 2 | 3 | 1 |
| 38 | -2 | -2 | 3 |
| 39 | -3 | 4 | 1 |
| 40 | -11 | 19 | -14 |
| 41 | -7 | 8 | -4 |
| 42 | -1 | 3 | 2 |
| 43 | 0 | 3 | 2 |
| 44 | 1 | 3 | 2 |
| 45 | -1 | -2 | 3 |
| 46 | 0 | -2 | 3 |
| 47 | 1 | -2 | 3 |
| 48 | 7 | 9 | -8 |
| 49 | 1 | 4 | -2 |
| 50 | 41 | -49 | 29 |
| 51 | 2 | 3 | 2 |
| 52 | -1 | -1 | 3 |
| 53 | 0 | -1 | 3 |
| 54 | 0 | 0 | 3 |
| 55 | 0 | 1 | 3 |
| 56 | 1 | 1 | 3 |
| 57 | 96 | 259 | -209 |
| 58 | -2 | 4 | 1 |
| 59 | -4 | 5 | -1 |
| 60 | 9 | 11 | -10 |
| 61 | -1 | 2 | 3 |
| 62 | 0 | 2 | 3 |
| 63 | 1 | 2 | 3 |
| 64 | 0 | 4 | 0 |
| 65 | 1 | 4 | 0 |
| 66 | 0 | 4 | 1 |
| 67 | 1 | 4 | 1 |
| 68 | 185 | -187 | 47 |
| 69 | -10 | 21 | -16 |
| 70 | 2 | 2 | 3 |
| 71 | 0 | 5 | -3 |
| 72 | 1 | 5 | -3 |
| 73 | -2 | 3 | 3 |
| 74 | 2 | 4 | 1 |
| 75 | 3 | 4 | -2 |
| 76 | -21167 | -122171 | 97135 |
| 77 | -4 | 5 | 2 |
| 78 | 12 | 14 | -13 |
| 79 | -1 | 4 | 2 |
| 80 | -1 | 3 | 3 |
| 81 | 1 | 4 | 2 |
| 82 | 1 | 3 | 3 |
| 83 | 1 | 14 | -11 |
| 84 | 9 | -11 | 7 |
| 85 | -2 | 7 | -5 |
| 86 | 29 | -31 | 14 |
| 87 | -1 | 6 | -4 |
| 88 | -1 | -7 | 6 |
| 89 | 2 | 3 | 3 |
| 90 | -5 | 7 | -4 |
| 91 | 3 | 4 | 0 |
| 92 | -1 | 7 | -5 |
| 93 | 3 | 4 | 1 |
| 94 | 1 | 7 | -5 |
| 95 | 20 | -49 | 38 |
| 96 | -3 | 5 | -1 |
| 97 | 2 | -7 | 6 |
| 98 | -3 | 5 | 0 |
| 99 | -2212 | 2549 | -1421 |
E-mail : kc2h-msm@asahi-net.or.jpHisanori Mishima