Find positive integers such that

, ,

,

,

, ,

are all squares.

Here are some solutions:

**#1** : (A, B, C) = (88642, 891458, 3713858)

**#2** : (A, B, C) = (5016718, 25719218, 53597618)

**#3** : (A, B, C) = (26633678, 29316722, 40606322)

**#4** : (A, B, C) = (1814958658, 1839243842, 2010958658)

**#5** : (A, B, C) = (348650242, 683686658, 1160672258)

**#6** : (A, B, C) = (1010158, 15832658, 27122258)

**#7** : (A, B, C) = (9402477602, 9413131298, 12486724898)

**#8** : (A, B, C) = (10329411854, 12820819250, 20452588850)

**#9** : (A, B, C) = (955242946, 4041267650, 6438349250)

**#10** : (A, B, C) = (197629680814, 272428648850, 341114575250)

**#11** : (A, B, C) = (2401225198, 3259832402, 5167774802)

**#12** : (A, B, C) = (348786927598, 359274735698, 397252950098)

**#13** : (A, B, C) = (412962593440642, 414296378211458, 419547442121858)

**#14** : (A, B, C) = (248406828418, 948319774082, 1200982828418)

**#15** : (A, B, C) = (112313186, 473617250, 3547210850)

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