Congruum g : 900 <= g <= 999


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 : 900 <= g <= 999.
The solution of the following numbers are not in the range of 1 <= m, n <= 1,000,000.

902, 911, 917, 919, 926, 933,
941, 942, 958, 965, 967, 974,
982, 983, 989, 991, 997, 998

Congruum g : 900 <= g <= 999
gmnxyz
901287384848841103129654
903172351772117781301
905181180327616224596
910655642251394252
91561603721409312
646196090001
24412232601054903501
234484141612145528603136953142350119
934375382893506049220759368496417
935270422092528240231844470047
9433448192001413721161997801920
94994990090060127108090130
9511961211863966330807011
9572942775345792452
73444938280073444953716845720
959518442254971456642305210465
9662321110911664451
2840899660028408914239681310
973547612513833273063903
9852656967242617046512952212682582
1664651664641639680257277657725408
73788143824472681278515764201246625662
9873362893316329741690017
48414133881886501
104432500103072413212906778950
99532012131840016632420011
39605796198025881033252


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