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Function: driver
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: model
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: getFloatingMyInfo
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Line: 559
Function: get_footer
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.
[문장제 문제&개념응용] [정수] 괴짜 수학자
원파
2021.01.13 09:16
조회 469
(3개월 지나 다시 내는 문제, 원본은 수학동아 - 폴리매스 (polymath.co.kr))
소수는 2, 3, 5, ...등 약수가 1과 자신뿐인 자연수를 말합니다.
에라토스테네스의 체의 원리에서 알 수 있듯이 p가 소수라면 p를 제외한 소수들은 모두 p의 배수가 아니죠.
이런 소수의 성질이 거슬린 페루마는 소수들에 1을 추가하기로 했습니다.
(1) 페루마의 소수들에는 1차이인 소수가 몇쌍 있나요?
(2) 페루마의 소수들에는 p가 소수라면 p를 제외한 소수들이 모두 p의 배수가 아닐까요? 아니라면 반례를 들어보세요.
(3) 페루마의 소수들을 페르마의 소정리에서 지수에 사용할 수 있나요? 없다면 없는 이유를 밝히고, 있다면 왜 쓸모가 없는지 적어보세요.
지금 바로
로그인해보세요
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