Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2026 — Part 02 Question 168

Math Olympiad Vault · MathNet 2026 — Part 02

Question 168

A perfect number - a natural number $n$ It is said perfect if the sum of all its own divisors, that is, different from $n$, is equal to $n$. for example, $6$ e $28$ They are perfect because: $6=1+2+3$ e $28=1+2+4+7+14$. knowing that $2^{31}-1$ is a prime number, show that $2^{30}\left(2^{31}-1\right)$ It's a perfect number.