X=mg/n, Y=kg2/n2
- Definition 1.
- k2g=mn(m2-n2)
k, m, n, g in N (integer > 0)
- Definition 2.
- (x/z2, y/z3) on elliptic curve Y2=X3-g2X
x, y, z in Z (integer)
X, Y in Q (rational)
There are 36 congruum g : 400 <= g <= 499.
The solution of the following numbers are not in the range of 1 <= m, n <= 1,000,000.
407, 413, 415, 421, 431, 437, 439, 446, 447, 453,
454, 461, 463, 469, 471, 478, 479, 485, 487, 493
Congruum g : 400 <= g <= 499 g m n x y z 406 3712 9 1507072 1850119264 3 410 41 40 1681 15129 2 81 40 3321 166419 2 1369 640 56129 11755233 8 17689 4000 725249 601634943 20 422 638450 47089 269425900 4410365124180 217 426 96 25 40896 7984944 5 98 71 588 9828 1 2809 2738 598317 103395951 37 44521 6962 9482973 28843024167 59 429 12 1 5148 368082 1 21025 6864 21025 2881585 4 430 3483 3362 748845 169322175 41 434 32 31 448 2352 1 56 25 24304 3390408 5 289 72 62713 15209747 6 22801 12168 4947817 9307564651 78 438 49 24 3577 186515 2 442 121 104 2057 47685 2 425 416 7225 125715 4 729 104 12393 1365525 2 445 89 80 7921 308919 4 455 64 1 29120 4968600 1 457 64009 41616 29252113 120208263175 204 462 14 11 588 8820 1 100489 46200 100489 28288763 10 465 16 15 496 3844 1 124 121 57660 3027150 11 841 4 391065 244550475 2 17161 1444 7979865 22462101675 38 231361 29760 231361 110360159 8 470 47 2 11045 1159725 1 494 2299 1458 567853 330851807 27
- 1 <= ‚‡ <= 99
- 100 <= ‚‡ <= 199
- 200 <= ‚‡ <= 299
- 300 <= ‚‡ <= 399
- 400 <= ‚‡ <= 499
- 500 <= ‚‡ <= 599
- 600 <= ‚‡ <= 699
- 700 <= ‚‡ <= 799
- 800 <= ‚‡ <= 899
- 900 <= ‚‡ <= 999
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