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
500 <= n <= 599, max{|x|,|y|,|z|} <= 4*106.
| n | x | y | z |
|---|
| 500 | -199 | -301 | 260 |
| 501 | -3 | 8 | 2 |
| 502 | -2 | 8 | -1 |
| 503 | -14 | 15 | -4 |
| 504 | -17 | 23 | -15 |
| 505 | 6 | 7 | -3 |
| 506 | -2 | 8 | 1 |
| 507 | -8 | -15 | 13 |
| 508 | 85 | 127 | -110 |
| 509 | -1 | 8 | -1 |
| 510 | 0 | 8 | -1 |
| 511 | -1 | 8 | 0 |
| 512 | 0 | 8 | 0 |
| 513 | 1 | 8 | 0 |
| 514 | 0 | 8 | 1 |
| 515 | 1 | 8 | 1 |
| 516 | 85 | 87 | -86 |
| 517 | 7 | -8 | 7 |
| 518 | 2 | 8 | -1 |
| 519 | 0 | 17 | -13 |
| 520 | -5 | 11 | -7 |
| 521 | -9 | 10 | 5 |
| 522 | 5 | 7 | 3 |
| 523 | 3 | 4 | 6 |
| 524 | 471 | -483 | 160 |
| 525 | -11 | 12 | 4 |
| 526 | -56 | -110 | 91 |
| 527 | -1 | 8 | 2 |
| 528 | 35 | -45 | 29 |
| 529 | -4 | 7 | 5 |
| 530 | -3 | 5 | 6 |
| 531 | -13 | 14 | -2 |
| 532 | 9 | -13 | 10 |
| 533 | 133 | -134 | 30 |
| 534 | -3 | -5 | 7 |
| 535 | 4 | 7 | 4 |
| 536 | 329 | -337 | 110 |
| 537 | 3 | 8 | -1 |
| 538 | -3 | -21 | 17 |
| 539 | 3 | 8 | 0 |
| 540 | 7 | 13 | -10 |
| 541 | 3 | 8 | 1 |
| 542 | -8 | 10 | 3 |
| 543 | 6 | 7 | -2 |
| 544 | -5 | -11 | 10 |
| 545 | -13 | 14 | -1 |
| 546 | -6 | 8 | 5 |
| 547 | -13 | 14 | 0 |
| 548 | -9 | 11 | -3 |
| 549 | -2 | 5 | 6 |
| 550 | -5 | 9 | -3 |
| 551 | -10 | -23 | 19 |
| 552 | 21 | 25 | -23 |
| 553 | -2 | -5 | 7 |
| 554 | -28 | -142 | 113 |
| 555 | 3 | 8 | 2 |
| 556 | -1 | 5 | 6 |
| 557 | 0 | 5 | 6 |
| 558 | 1 | 5 | 6 |
| 559 | 6 | 7 | 0 |
| 560 | -1 | -5 | 7 |
| 561 | 0 | -5 | 7 |
| 562 | 1 | -5 | 7 |
| 563 | -13 | 14 | 2 |
| 564 | -1 | -21 | 17 |
| 565 | 2 | 5 | 6 |
| 566 | -3 | 7 | 5 |
| 567 | 1 | 8 | 3 |
| 568 | 35 | 111 | -89 |
| 569 | 2 | -5 | 7 |
| 570 | 94 | 96 | -95 |
| 571 | -4991 | -9710 | 8041 |
| 572 | -25 | 29 | -16 |
| 573 | 2 | -21 | 17 |
| 574 | 2 | 8 | 3 |
| 575 | 6 | 7 | 2 |
| 576 | 1 | -17 | 14 |
| 577 | -14 | 15 | -3 |
| 578 | 4 | 8 | 1 |
| 579 | -5 | 12 | -8 |
| 580 | 85111 | 89845 | -87542 |
| 581 | -4 | 11 | -7 |
| 582 | 96 | 98 | -97 |
| 583 | 5 | 8 | -3 |
| 584 | 3 | 5 | 6 |
| 585 | -2 | 7 | 5 |
| 586 | -9 | 11 | -2 |
| 587 | 11 | -14 | 10 |
| 588 | 3 | -5 | 7 |
| 589 | 1168 | -1169 | 127 |
| 590 | 5 | -13 | 11 |
| 591 | 5 | 6 | 5 |
| 592 | -1 | 7 | 5 |
| 593 | 0 | 7 | 5 |
| 594 | 1 | 7 | 5 |
| 595 | -3 | -4 | 7 |
| 596 | 5 | 7 | 4 |
| 597 | -12 | 13 | 4 |
| 598 | -5492 | 5494 | -449 |
| 599 | 101 | 476 | -379 |
E-mail : kc2h-msm@asahi-net.or.jpHisanori Mishima