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 39 congruum g : 300 <= g <= 399.
The solution of the following numbers are not in the range of 1 <= m, n <= 1,000,000.
302, 303, 309, 311, 317, 326, 327, 334, 335, 349,
358, 359, 365, 367, 373, 382, 383, 389, 397, 398,
Congruum g : 300 <= g <= 399 g m n x y z 301 2752 729 828352 726982424 27 310 40 9 12400 1345400 3 313 169 144 52897 6367985 12 318 1083 242 172197 69649155 11 319 2500 2401 797500 198433950 49 323 425 304 7225 429165 4 529 304 8993 697935 4 91809 1216 1560753 1949679255 8 330 6 5 396 4356 1 8 3 880 24200 1 27 22 405 4725 1 147 22 2205 102375 1 3721 1320 3721 212219 2 5329 5280 5329 52633 4 9248 3 1017280 1026031600 1 13254 1805 874764 810533988 19 123008 121203 13530880 8495264800 201 257094 14045 16968204 69791862492 53 341 13924 2475 431644 279072478 15 353 289 64 102017 31775295 8 357 21 4 7497 637245 2 208849 142800 208849 69647257 20 366 122 121 44652 1205604 11 371 53 28 2809 126405 2 484 477 3388 33418 3 3392 1369 1258432 1291623144 37 448592 100489 166427632 2092467482196 317 374 1682 1 629068 498937692 1 381 158404 146523 20117308 34285705622 221 386 121 72 23353 2868173 6 390 8 5 624 12168 1 7921 6240 7921 434231 4 391 327184 308025 127928944 487872012628 555 395 80 1 31600 5616900 1 39605 38236 198025 22968675 22 91204 91125 7205116 804801914 135 399 64 57 448 4312 1
- 1 <= ‚‡ <= 99
- 100 <= ‚‡ <= 199
- 200 <= ‚‡ <= 299
- 300 <= ‚‡ <= 399
- 400 <= ‚‡ <= 499
- 500 <= ‚‡ <= 599
- 600 <= ‚‡ <= 699
- 700 <= ‚‡ <= 799
- 800 <= ‚‡ <= 899
- 900 <= ‚‡ <= 999
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