A Pythagorean triplet is a set of three natural numbers, a<b <c, for which,a2 + b2 = c2
For example, 32 + 42 = 9 + 16 = 25 = 52.
There exists exactly one Pythagorean triplet for which a + b + c = 1000.
Find the product abc.
求出和为1000的3个勾股数的积。Pythagorean triplet:勾股数
For example, 32 + 42 = 9 + 16 = 25 = 52.
There exists exactly one Pythagorean triplet for which a + b + c = 1000.
Find the product abc.
求出和为1000的3个勾股数的积。Pythagorean triplet:勾股数
本文探讨了一组特殊的勾股数,即三个自然数a、b、c,满足a² + b² = c²且a + b + c = 1000的条件。文中给出了具体的数学问题背景,并寻求这组勾股数中a、b、c的乘积。
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