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[창의 퍼즐] [정수]순환이 될까?

sicma 2020.06.12 22:38 조회 687

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페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

임의의 자연수를 n이라 할때 f(n)을 다음과 같이 정의 하자. $\huge f(n)=n^{n-1^{n-2^{...^{2^1}}}}$ 그리고 g(n)은 f(n)을 100으로 나눈 나머지라 할 때 g(n)의 순환된다면 몇개마다 순환되는지 왜 순환하는지 보이시오. 순환하지 않는다면 이것 또한 증명하시오,

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GUN.007 Lv.11 2020.06.12 22:42

n^{(n-1)^(n-2).....}인가요?

아님

n^(n-1^(n-2)....)인가요?

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- sicma Lv.11 2020.06.12 22:44
  
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  그냥 연속한 자연수를 계속 그 지수위에 쓰는 겁니다.
  예를 들어서 f(5)면 $\huge 5^{4^{3^{2^{1}}}}$ 과 같이 쓰는 거예요.
  
  좋아요0
GUN.007 Lv.11 2020.06.13 03:45 비밀댓글

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- sicma Lv.11 2020.06.13 07:39 비밀댓글
  
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