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수학동아 - 폴리매스
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[잡담] 14B 보고 있는데요
솔바람 2021.12.24 20:07 조회 263
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페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

억측을 하는 과정에서 제가 하나 가정을 했는데

소인수분해 했을 때 각각의 지수가 2 미만이면서 1을 더하면 소수가 되는 수..? 

이런 것들은 성립하더라고요

(세는 게 문제)

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  •  
    Scubed Lv.7 2021.12.24 20:12

    그리고 2은 무조건 하나여야 하죠

    댓글 작성하기 좋아요0 댓글수1
    •  
      솔바람 Lv.10 2021.12.24 20:15

      맞아요

      좋아요0
  •  
    화이트가드 Lv.5 2021.12.24 21:08

    억측은 아니고, 옳은 과정이에요. 

    즉, 모든 약수 d에 대해, (d + n/d)가 소수이면, 짝수이면서 홀소수들의 지수가 1이하이다.

    라는 명제는 맞습니다. 

    다만, 역이 성립하진 않아요. 예를 들어 2*7*11의 경우 14 + 11이 소수가 아니죠. 

    댓글 작성하기 좋아요0 댓글수2
    •  
      솔바람 Lv.10 2021.12.24 21:53

      그 역에서 '1을 더하면 소수이다' 를 추가하면 참이 되죠!

      좋아요0
    •  
      솔바람 Lv.10 2021.12.24 23:36

      아.. 아니네요 반례가 있군요 ㅜ

      좋아요0
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