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决赛rn1.对某些正整数n＞m,数n既可以表示为2021个加数的和,其中,每个加数均为m的非负整数次方幂数,又可以表示为2 021个加数的,其中,每个加数均为m+1的非负整数次方幂数.试问:对于怎样的最大的m有此可能(即使只存在一个n＞m)?
第47届俄罗斯数学奥林匹克(十一年级)
【摘 要】
：
决赛rn1.对某些正整数n＞m,数n既可以表示为2021个加数的和,其中,每个加数均为m的非负整数次方幂数,又可以表示为2 021个加数的,其中,每个加数均为m+1的非负整数次方幂数.试问:对于怎样的最大的m有此可能(即使只存在一个n＞m)?
【出 处】
：
中等数学
【发表日期】
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2021年11期
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