一道小學(xué)野題的答案

解析參考:https://www.bilibili.com/video/BV1Zq4y1z7gf?spm_id_from=333.999.0.0
原方程的解(a,b,c)如下:
(9,73,5256)
(9,74,2664)
(9,75,1800)
(9,76,1368)
(9,78,936)
(9,80,720)
(9,81,648)
(9,84,504)
(9,88,396)
(9,90,360)
(9,96,288)
(9,99,264)
(9,104,234)
(9,108,216)
(9,120,180)
(9,126,168)
(9,136,153)
(10,41,1640)
(10,42,840)
(10,44,440)
(10,45,360)
(10,48,240)
(10,50,200)
(10,56,140)
(10,60,120)
(10,65,104)
(10,72,90)
(11,40,110)
(12,25,600)
(12,26,312)
(12,27,216)
(12,28,168)
(12,30,120)
(12,32,96)
(12,33,88)
(12,36,72)
(12,40,60)
(12,42,56)
(13,24,156)
(14,24,84)
(14,35,40)
(15,24,60)
(15,30,40)
(16,17,272)
(16,18,144)
(16,20,80)
(16,24,48)
(18,24,36)
(20,24,30)
(21,24,28)
(-4,3,24)
(-4,4,8)
(-6,4,24)
(-6,6,8)
(-7,4,56)
(-7,7,8)
(-8,-4,2)
(-8,5,20)
(-8,6,12)
(-9,8,9)
(-10,5,40)
(-10,8,10)
(-12,-8,3)
(-12,6,24)
(-12,8,12)
(-15,6,40)
(-16,6,48)
(-16,8,16)
(-18,6,72)
(-20,6,120)
(-21,6,168)
(-22,6,264)
(-23,6,552)
(-24,-12,4)
(-24,-6,3)
(-24,-3,2)
(-24,7,42)
(-24,8,24)
(-24,9,18)
(-24,10,15)
(-28,7,56)
(-30,-24,5)
(-36,9,24)
(-40,-10,4)
(-40,7,140)
(-40,8,40)
(-40,10,20)
(-40,12,15)
(-42,7,168)
(-47,12,16)
(-48,7,336)
(-48,12,16)
(-49,7,392)
(-52,7,728)
(-54,7,1512)
(-55,7,3080)
(-56,-42,6)
(-56,8,56)
(-60,-40,6)
(-60,10,24)
(-72,-36,6)
(-72,-9,4)
(-72,8,72)
(-72,9,36)
(-72,12,18)
(-88,-33,6)
(-90,9,40)
(-96,-32,6)
(-112,14,16)
(-120,-105,7)
(-120,-30,6)
(-120,9,45)
(-120,10,30)
(-120,12,20)
(-132,11,24)
(-144,9,48)
(-154,-88,7)
(-160,10,32)
(-168,-84,7)
(-168,-28,6)
(-168,12,21)
(-216,-27,6)
(-216,9,54)
(-240,15,16)
(-252,-72,7)
(-252,9,56)
(-264,12,22)
(-280,-70,7)
(-280,10,35)
(-312,-26,6)
(-360,9,60)
(-360,10,36)
(-448,-64,7)
(-504,-63,7)
(-504,9,63)
(-552,12,23)
(-576,9,64)
(-600,-25,6)
(-760,10,38)
(-792,9,66)
(-840,-60,7)
(-1224,9,68)
(-1560,10,39)
(-1624,-58,7)
(-1656,9,69)
(-2520,9,70)
(-3192,-57,7)
(-5112,9,71)