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함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 세제곱 수 찾기
M091 2019.08.03 07:21 조회 610
문제 푼 사람 0명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

a3+b3=c3+d3를 만족시키는 만족 시키는 서로 다른

양의 정수 a, b, c, d의 쌍은 어떤 것들이 있을까?

(여러 개의 a, b, c, d의 쌍 중 하나만 찾아도 정답입니다.)

이 문제 어떠셨나요?

글쎄요

0

어려워요

0

문제 찜하기 목록보기
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  •  
    jeuno Lv.5 2019.08.03 07:57

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    Function: require_once

    유명한 수로는 1729=1^{3}+12^{3}=10^{3}+9^{3}가 있지 않을까 싶네요

    댓글 작성하기 좋아요1 댓글수1
    •  
      M091 Lv.1 2019.08.03 17:44

      맞아요 잘 맞혀주셨어요!! 이거 말고도 많아서 몇개는 쉽게 찾으실 수 있을거에요:)

      좋아요0
  •  
    tommy Lv.1 2019.08.03 19:07

    https://oeis.org/A001235

    OEIS의 수열 A001235입니다ㅎㅎ 이런 수들을 taxicab number라고 부른다네요! ㅎㅎ

    댓글 작성하기 좋아요0 댓글수0
  •  
    오르빗 Lv.2 2019.08.03 22:09

    4104=2^3+16^3=9^3+15^3이 있는 것 같네요.

    댓글 작성하기 좋아요0 댓글수0
  •  
    Byzantium Lv.6 2019.08.03 22:54

    a,b,c,d가 정수, 즉 음의 정수도 포함된다면

    91=33+43=63+(-5)3이라는 작은 수도 있네요

    댓글 작성하기 좋아요0 댓글수0

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