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 37 congruum g : 100 <= g <= 199.
The solution of the following numbers are not in the range of 1 <= m, n <= 1,000,000.
101, 103, 118, 127, 134,
142, 157, 166, 167, 173,
181, 183, 191, 197, 199
Congruum g : 100 <= g <= 199 g m n x y z 102 50 1 5100 364140 1 109 2725 1764 297025 123384185 42 110 10 1 1100 36300 1 10201 3960 10201 949501 6 111 37 12 1369 47915 2 119 144 25 17136 2209116 5 133 256036 143811 1792252 1985131610 87 137 3425 3136 469225 129224565 56 38809 784 5316833 12257189295 28 138 24 1 3312 190440 1 25 2 1725 71415 1 98 23 588 13860 1 3698 23 22188 3304980 1 225625 103058 15568125 54644020425 227 259584 143641 35822592 178588537920 379 332929 55200 332929 189441217 20 395641 124200 395641 236278189 30 141 48 1 6768 556668 1 143 101124 1849 14460732 54981021810 43 145 29 20 841 17661 2 145 144 21025 357425 12 845 116 4225 272025 2 59405 14036 297025 157295175 22 149 93125 56644 13875625 41025782925 238 151 115600 35721 17455600 69360185980 189 154 9 2 693 17787 1 18 7 396 7260 1 88 81 13552 616616 9 352 9 54208 12616912 3 7225 5544 7225 393805 6 50562 43687 1112364 590637300 79 139129 138600 139129 4521133 30 514089 354482 39584853 180378127083 421 563922 55447 12406284 43486361820 89 158 768800 579121 121470400 880509737520 761 159 33124 11449 5266716 11341815030 107 161 16 7 368 6348 1 225 64 36225 6609855 8 368 361 59248 2799468 19 44528 841 7169008 19191597348 29 93025 92736 93025 2234735 24 314721 160000 50670081 310595764479 400 165 16 11 240 2700 1 142129 95040 142129 39840983 24 174 27 2 2349 113535 1 537289 156600 537289 376733413 30 182 343 18 31213 5506865 3 190 10 9 1900 36100 3 32761 6840 32761 5799059 6 194 97 72 9409 611585 6 5041 288 488977 341367929 12 19321 8712 1874137 2290047101 66
- 1 <= ‚‡ <= 99
- 100 <= ‚‡ <= 199
- 200 <= ‚‡ <= 299
- 300 <= ‚‡ <= 399
- 400 <= ‚‡ <= 499
- 500 <= ‚‡ <= 599
- 600 <= ‚‡ <= 699
- 700 <= ‚‡ <= 799
- 800 <= ‚‡ <= 899
- 900 <= ‚‡ <= 999
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