수학동아 - 폴리매스

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함께 풀고 싶은 문제

창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.

[창의 퍼즐] 하디와 라마누잔

Chamiitv 2019.10.07 07:24 조회 525

문제 푼 사람 5명

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

(이거 생각보다 유명합니다. 인터넷에 찾아보지 마세요. 찾아보면 당신의 양심에 금이 가는 것입니다.)

34세에 요절한 라마누잔과 그를 영국 학술원이 되기까지 도와준 하디의 일하이다.

라마누잔의 병문안을 온 하디는 자신이 타고 온 택시번호 1729가 별 특징이 없는 수라 했다.

왜냐하면 133*13=1729 이었기 때문에 13이 약수에 포함되서 그런 말을 한것이다.

그러나 라마누잔은, 1729가 특색있는 수라 했다. 그 이유는

(a, b, c, d는 다 다른 수)

$a^{^{3}}+b^{3}=1729, c^{^{3}}+d^{3}=1729$ 가 성립해서 였다.

즉, 2개의 다른 세제곱수의 합으로 나타내눌 수 있는 최초의 수 이기 때문이다.

a, b, c, d에 들어갈 수는?

이전글 간단하지만 생각할 문제

다음글 간단한 문제

이 문제 어떠셨나요?

글쎄요

어려워요

문제 찜하기 목록보기

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Chamiitv Lv.5 2019.10.07 07:25

그런데 하디는 무신론자다 ㅋㅋㅋㅋ

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Chamiitv Lv.5 2019.10.07 07:25 비밀댓글

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Chamiitv Lv.5 2019.10.07 07:27

이 조건을 만족하는 그다음 수는 87539319 ㅋ

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잘한다 Lv.5 2019.10.07 07:28 비밀댓글

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- Chamiitv Lv.5 2019.10.07 07:29
  
  왠지 인터냇빨인것 같지만 넘어감ㅋ
  
  좋아요0
- 잘한다 Lv.5 2019.10.07 07:34
  
  감사합니다!
  
  좋아요0
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리프 Lv.7 2019.10.07 09:08 비밀댓글

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아인수타인 Lv.12 2019.10.07 09:37 비밀댓글

비밀 댓글이 등록 되었습니다.

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- Chamiitv Lv.5 2019.10.07 17:06
  
  a b 틀렸어요 다시 해주세요
  
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K→C≡N Lv.11 2019.10.07 16:09 비밀댓글

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- Chamiitv Lv.5 2019.10.07 17:04 비밀댓글
  
  비밀 댓글이 등록 되었습니다!
- K→C≡N Lv.11 2019.10.07 17:05
  
  네
  
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Chamiitv Lv.5 2019.10.07 17:07

음... 일화입니다. 일하 아니에욬ㅋㅋㅋㅋ

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아인수타인 Lv.12 2019.10.07 22:28 비밀댓글

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21세기오일러 Lv.11 2019.10.08 05:00 비밀댓글

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