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发表于 2023-1-25 21:27
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特殊三角数的立方表为三个立方数之和
求证:若 n>=2,则 (2^n*(2^(n+1) -1))^3=a^3+b^3+c^3 均有正整数解。
举例:PowersRepresentations[8128^3, 3, 3]
s = 0;
For[n = 2, n <= 8, n++, s = s + 1;
Print[s, "-----", 2^n*(2^(n+1) -1) , "-----",
PowersRepresentations[(2^n*(2^(n+1) -1))^3, 3, 3]]]]
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