Olym 2N. 소수와 합성수
- 연습문제
Example n. Title Here
Problem Here
Source Here
Solution
Solution Here.
Exercise 1. Minus Primes
Problem Here
USAMTS R1/2
Solution
Solution Here.
Example n. Title Here
The distinct prime factors of an integer are its prime factors listed without repetition. For example, the distinct prime factors of $40$ are $2$ and $5$.
Let $A=2^k - 2$ and $B= 2^k \cdot A$, where $k$ is an integer ($k \ge 2$).
Show that, for every integer $k$ greater than or equal to $2$,
$A$ and $B$ have the same set of distinct prime factors.
$A+1$ and $B+1$ have the same set of distinct prime factors.
BAMO 2016
Solution
Solution Here.
Example n. Title Here
$p+2$와 $p^2+2p-8$이 모두 소수가 되도록 하는 소수 $p$를 모두 구하여라.
Albania 2012
Solution
Solution Here.
Example n. Title Here
$2^p+p^2$이 소수가 되도록 하는 소수 $p$를 모두 구하여라.
Albania TST 2011
Solution
Solution Here.
Example n. Title Here
Problem Here
Source Here
Solution
Solution Here.
Example n. Title Here
Problem Here
Source Here
Solution
Solution Here.
Example n. Title Here
Problem Here
Source Here
Solution
Solution Here.
