Congruum g : 500 <= g <= 599

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 : 500 <= g <= 599.
The solution of the following numbers are not in the range of 1 <= m, n <= 1,000,000.

501, 502, 503, 511, 519, 526, 533, 541, 542, 543,
557, 559, 566, 573, 583, 589, 591, 597, 599

Congruum g : 500 <= g <= 599

g	m	n	x	y	z
505	101	20	10201	1009899	2
	85345	28224	43099225	267026221475	168
	171125	145844	855625	414016125	38
509	86021	28900	43784689	272883022113	170
510	32	17	960	25200	1
514	257	32	66049	16842495	4
	938961	430592	241312977	3331213084569	464
517	36	11	1692	66270	1
518	1184	841	613312	338088240	29
527	576	49	303552	166637400	7
534	49298	47089	26325132	39979156356	217
535	174724	96721	93477340	752668136550	311
546	7	6	637	8281	1
	14	13	588	5292	1
	32	7	2496	121680	1
	968	7	75504	20746440	1
	5054	1573	212268	92939868	11
	7225	2184	7225	585395	2
	41503	16854	3776773	6707303603	53
	133225	19656	133225	48094955	6
551	122500	32041	67497500	535233382950	179
561	17	16	9537	314721	4
	33	16	18513	2203047	4
	361	64	202521	89695485	8
	1849	1024	1037289	879645195	32
	297025	35904	297025	160691615	8
565	949765	311364	536617225	11743763263325	558
574	288	1	165312	67213104	1
581	306916	269667	2148412	1503644086	57
582	194	169	112908	18629820	13
590	16810	4489	9917900	30099858900	67
598	899496	528529	537898608	10094549417160	727

• 1 <= ‚‡ <= 99
• 100 <= ‚‡ <= 199
• 200 <= ‚‡ <= 299
• 300 <= ‚‡ <= 399
• 400 <= ‚‡ <= 499
• 500 <= ‚‡ <= 599
• 600 <= ‚‡ <= 699
• 700 <= ‚‡ <= 799
• 800 <= ‚‡ <= 899
• 900 <= ‚‡ <= 999