Congruum g : 200 <= g <= 299


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)

X=mg/n, Y=kg2/n2

There are 37 congruum g : 200 <= g <= 299.
The solution of the following numbers are not in the range of 1 <= m, n <= 1,000,000.

206, 213, 223, 229, 237, 247, 262,
263, 269, 271, 277, 278, 287, 293

Congruum g : 200 <= g <= 299
gmnxyz
20545492258825252
21052525110251
611260441001
8724018001
128738402376001
4863611020602182950019
60557863525472972517
84184084111892
13698401369399972
1276933601276913920474
71286488411497006042190161300221
1201253698126131254477423387543
2141959388236941930732246361001676287
215384436182646074801295019
219734853292930954
1214888337620474
184917281349771764431924
67081307248969131082499487332
22113428731465232
342253182434225232970512
2221250634812776332444319902059
226813291538044474
168115681899532984115328
326572163236902415310690945104
23011277221296053582652519
231741617533612
4225369642251330554
2381800168142840010025988041
239144001416134416001158413880119
2465785291421882160421223
253125316910912882268336048837091
2541479682592137583872226847546304161
25516140802601001
660491632066049164482578
2572340910816601611313086618615104
2654941298514747252
96148425466511102572522
662512961755625228125912536
36278530470496138025511602397525552
28576492166024367507
2861121573613471
15625102961562514691256
29149484753658634
52943251313670861712
163937681590121200294087516
13279323232128809214551664908588
2959374452267964687225984638752562
2993613828222181
187218495597286544153243
21978282856144708956


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E-mail : kc2h-msm@asahi-net.or.jp
Hisanori Mishima