(华杯赛)已知x,y,z是三个小于100的正整数,且x>y>z,x-y,y-z,x-z均为质数,求x-z的最大值.我算出的结果是x=75,y=73,z=2,x-z=73.
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![(华杯赛)已知x,y,z是三个小于100的正整数,且x>y>z,x-y,y-z,x-z均为质数,求x-z的最大值.我算出的结果是x=75,y=73,z=2,x-z=73.](/uploads/image/z/3982866-42-6.jpg?t=%EF%BC%88%E5%8D%8E%E6%9D%AF%E8%B5%9B%EF%BC%89%E5%B7%B2%E7%9F%A5x%2Cy%2Cz%E6%98%AF%E4%B8%89%E4%B8%AA%E5%B0%8F%E4%BA%8E100%E7%9A%84%E6%AD%A3%E6%95%B4%E6%95%B0%2C%E4%B8%94x%EF%BC%9Ey%EF%BC%9Ez%2Cx-y%2Cy-z%2Cx-z%E5%9D%87%E4%B8%BA%E8%B4%A8%E6%95%B0%2C%E6%B1%82x-z%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC.%E6%88%91%E7%AE%97%E5%87%BA%E7%9A%84%E7%BB%93%E6%9E%9C%E6%98%AFx%3D75%2Cy%3D73%2Cz%3D2%2Cx-z%3D73.)
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