设a,b,c为正整数且a^2+b^3=c^4,求c的最小值.今天就要要的,

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设a,b,c为正整数且a^2+b^3=c^4,求c的最小值.今天就要要的,设a,b,c为正整数且a^2+b^3=c^4,求c的最小值.今天就要要的,设a,b,c为正整数且a^2+b^3=c^4,求c的

设a,b,c为正整数且a^2+b^3=c^4,求c的最小值.今天就要要的,
设a,b,c为正整数且a^2+b^3=c^4,求c的最小值.今天就要要的,

设a,b,c为正整数且a^2+b^3=c^4,求c的最小值.今天就要要的,
a =28
b = 8
c = 6
C最小为6
C在100以内的解还有如下,不过此时C就不是最小了:
a =27
b =18
c = 9
a =63
b =36
c =15
a =1176
b = 49
c = 35
a =648
b =108
c = 36
a =433
b =143
c = 42
a =1792
b =128
c = 48
a =2925
b =126
c = 57
a =3807
b = 108
c = 63
a =4785
b =136
c = 71
a =4941
b = 135
c = 72
a =1728
b = 288
c = 72
a =4500
b = 225
c = 75
a =6083
b = 23
c = 78
a =7452
b = 216
c = 90
a =7203
b = 343
c = 98
a =6875
b = 375
c = 100
a =6000
b = 400
c = 100

太高深了!!!