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
400 <= n <= 499, max{|x|,|y|,|z|} <= 4*106.
| n | x | y | z |
|---|
| 400 | 3343 | -22127 | 17542 |
| 401 | -4 | -13 | 11 |
| 402 | 3 | 5 | 5 |
| 403 | -5 | 8 | 2 |
| 404 | -1 | -3 | 6 |
| 405 | 2 | 7 | 3 |
| 406 | 1 | -3 | 6 |
| 407 | 4 | 7 | 0 |
| 408 | 15 | 19 | -17 |
| 409 | 4 | 7 | 1 |
| 410 | 86 | 134 | -115 |
| 411 | 3 | 8 | -4 |
| 412 | 49 | -61 | 38 |
| 413 | 2 | -3 | 6 |
| 414 | 5 | 7 | -3 |
| 415 | -4 | 9 | -5 |
| 416 | 33 | -123 | 97 |
| 417 | 147 | -872 | 691 |
| 418 | 15961 | 91705 | -72914 |
| 419 | -7 | 8 | 5 |
| 420 | 5 | -9 | 8 |
| 421 | -58 | -91 | 78 |
| 422 | 5 | 9 | -6 |
| 423 | -1 | -2 | 6 |
| 424 | 3 | 7 | 3 |
| 425 | 1 | -2 | 6 |
| 426 | -14 | 18 | -11 |
| 427 | -230 | 235 | -74 |
| 428 | -111433 | -117091 | 114332 |
| 429 | -6 | 11 | -7 |
| 430 | -1 | -1 | 6 |
| 431 | 0 | -1 | 6 |
| 432 | 0 | 0 | 6 |
| 433 | 0 | 1 | 6 |
| 434 | 1 | 1 | 6 |
| 435 | 10 | 21 | -17 |
| 436 | -5 | -5 | 7 |
| 437 | -28 | 29 | -10 |
| 438 | -3 | -13 | 11 |
| 439 | 4 | 5 | 5 |
| 440 | -7 | 9 | 3 |
| 441 | 1 | 2 | 6 |
| 442 | 12 | -14 | 9 |
| 443 | -3 | -6 | 7 |
| 444 | -3 | 7 | 4 |
| 445 | -19178 | 150439 | -119321 |
| 446 | -4 | 8 | -1 |
| 447 | -531 | -952 | 797 |
| 448 | -25 | 31 | -19 |
| 449 | 7 | 24 | -19 |
| 450 | -2 | 8 | -3 |
| 451 | -2 | 3 | 6 |
| 452 | 5 | 7 | -2 |
| 453 | -6 | -11 | 10 |
| 454 | 778 | -2072 | 1615 |
| 455 | -4 | 17 | -13 |
| 456 | 17 | 21 | -19 |
| 457 | -1 | 8 | -3 |
| 458 | -1 | 3 | 6 |
| 459 | 1 | 8 | -3 |
| 460 | 1 | 3 | 6 |
| 461 | 4 | 7 | 3 |
| 462 | -2 | -6 | 7 |
| 463 | -2 | 7 | 4 |
| 464 | -1 | -13 | 11 |
| 465 | -1 | 6 | 5 |
| 466 | 0 | 6 | 5 |
| 467 | 2 | 3 | 6 |
| 468 | 5 | 7 | 0 |
| 469 | -3 | 4 | 6 |
| 470 | -1 | 7 | 4 |
| 471 | 0 | 7 | 4 |
| 472 | 1 | 7 | 4 |
| 473 | 2 | -13 | 11 |
| 474 | 2 | 6 | 5 |
| 475 | -391 | 448 | -247 |
| 476 | -5 | 9 | -4 |
| 477 | 13 | -14 | 8 |
| 478 | 2 | -6 | 7 |
| 479 | 2 | 7 | 4 |
| 480 | 1 | 9 | -5 |
| 481 | 10 | -17 | 13 |
| 482 | -2254 | -11878 | 9449 |
| 483 | -3 | 8 | -1 |
| 484 | 5 | 7 | 2 |
| 485 | -3 | 8 | 0 |
| 486 | -8 | 10 | -1 |
| 487 | -3 | 8 | 1 |
| 488 | -17 | 19 | -9 |
| 489 | 651 | -734 | 391 |
| 490 | -8 | 10 | 1 |
| 491 | 13476659 | 13584908 | -13531000 |
| 492 | 3 | -13 | 11 |
| 493 | 3 | 6 | 5 |
| 494 | 18 | -20 | 11 |
| 495 | -1 | 4 | 6 |
| 496 | -41 | 231 | -183 |
| 497 | 1 | 4 | 6 |
| 498 | 3 | 7 | 4 |
| 499 | -68 | 187 | -146 |
E-mail : kc2h-msm@asahi-net.or.jpHisanori Mishima