Congruum g : 600 <= g <= 699


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 35 congruum g : 600 <= g <= 699.
The solution of the following numbers are not in the range of 1 <= m, n <= 1,000,000.

607, 613, 614, 623, 631, 638
647, 653, 655, 661, 662, 677
678, 679, 685, 687, 695

Congruum g : 600 <= g <= 699
gmnxyz
602251875254530053
41624396012505764838628642360199
19344211767166360126772809342041
90060154180090060168270965130
606218733866266153295124513
6092541522518544052
2811705222252861
256871792713441
1936871355215760361
41088124360041088121209472120
6162258769661622547881310512
61548436129766010817235019
62216200961100764003192953652031
62962910039564124569306110
645125480625228813752
6461811162812519481
10562523256105625334857256
65128360764708901
169483667367337274
2116931481218009461
11236753378652163662949
62884926040062884945391399320
654368421464124094668108531651852121
658128471792705601
5292001740416721766110
45364489298468874036844067
66332520442252137852
669196274370890506783
6706032422020058315872511
67136252415627014465
6743372881135691987457512
543169233281830479532474266135033108
68968940047472126631848120
15317629281180166687064522
17797171722313612923277518
694144722108241100437068668141353188329


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