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수학동아 - 폴리매스
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함께 풀고 싶은 문제
깊이 고민해볼 수 있는 수학 문제를 내는 곳입니다
[세상을 바꿀 문제] 특이한 수열
Amath 2021.06.05 20:06 조회 513
문제 푼 사람 0명
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페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

어떤 모든 항이 자연수인 수열 a(1), a(2), a(3), a(4), ........가 있다. 

n < m일 때, 모든 a(n)과 a(m)에 대하여 a(n) < a(m)이다.

 

a(0) = 1, a(1) = 2, a(2) = 3이고, 

어떤 n >1인 모든 a(n)은 i < n 인 모든 i에 대하여 a(i)의 배수가 아닌 수 중 가장 작은 수일 때,

이 수열을 구하시오. 

이 문제 어떠셨나요?

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    리네시아 Lv.2 2021.06.08 06:26 비밀댓글
    비밀 댓글이 등록 되었습니다.
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    •  
      Amath Lv.8 2021.06.08 16:39 비밀댓글
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    •  
      리네시아 Lv.2 2021.06.09 06:07 비밀댓글
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    •  
      Amath Lv.8 2021.06.11 02:57 비밀댓글
      비밀 댓글이 등록 되었습니다!
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      Amath Lv.8 2021.06.11 03:13 비밀댓글
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  •  
    cttg Lv.4 2021.07.30 00:59

    정답 a(n) = n번째 소수 입니다.

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    •  
      Amath Lv.8 2021.08.01 02:48 비밀댓글
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    •  
      Amath Lv.8 2022.05.23 07:03 비밀댓글
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  •  
    우까 Lv.4 2022.08.13 13:41

    소수요... 이유는 원하신다면 적을게요.. 아마도?

     

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    •  
      Amath Lv.8 2022.08.14 00:15 비밀댓글
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