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수학동아 - 폴리매스
함께 풀고 싶은 문제
나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.
sicma
2021.03.13 00:34
조회 342
제곱수를 이어붙였을때 소수가 되는 수를 제소수라 하자.(작은수에서 큰 순으로)
그리고 자연수의 제곱으로 이루어진 집합을 A라 하자.
이때 A의 부분집합을 임의로 고르고 적당한 원소를 잘 골라서 제소수가 만들어지는 부분집합을 P라 하였을때
P가 만들어질 확률은 얼마인가?
(ex1) P1={1,16,25}
116,125,1625는 모두 소수가 아니므로 문제에 적합하지 않은 부분집합이다.
또한 251이 소수이긴 하나 (큰수에서 작은수로 붙였으니 이는 제소수가 아니기에 부적합하다.)
(ex2) P2={1,9,49}
19,149가 제소수고 949는 제소수가 아니지만 제소수가 적어도 하나만 있어도 되니 문제에 만족하는 집합이다.
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바람개비
Lv.5
2021.03.13 07:41
예시에서 P2의 원소를 모두 이은 '1949'도 제소수인가요?
그리고 '제소수'란 게 원래 통용되는 개념인가요?
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sicma
Lv.11
2021.03.13 09:52
1.네
2. 아니요 통용되는 개념은 아니고 문제 만들려고 그냥 만들어낸 용어입니다
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