问题及解答

求方程 $x^3+y^3=z^n$ 的正整数解, 这里 $x,y\in[8,100]$.

使用 Calculator 中的 solve_x3plusy3_zn() 函数.

>> solve_x3plusy3_zn(8,100)
in> solve_x3plusy3_zn(8,100)
out>
8^3 + 8^3 == 2^10
8^3+8^3 == 32^2
9^3+18^3 == 81^2
10^3+65^3 == 525^2
11^3+37^3 == 228^2
14^3+70^3 == 588^2
16^3 + 16^3 == 2^13
16^3+32^3 == 192^2
18^3+18^3 == 108^2
22^3+26^3 == 168^2
25^3+50^3 == 375^2
27^3+54^3 == 3^11
28^3+84^3 == 784^2
32^3 + 32^3 == 2^16
32^3+32^3 == 256^2
33^3+88^3 == 847^2
36^3+72^3 == 648^2
49^3+98^3 == 1029^2
50^3+50^3 == 500^2
56^3+65^3 == 671^2
64^3 + 64^3 == 2^19
65^3+91^3 == 1014^2
72^3+72^3 == 864^2
98^3+98^3 == 1372^2

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Total: 20 solutions.

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