MathDB

36

Part of PEN A Problems

Problems(1)

A 36

Source:

5/25/2007
Let nn and qq be integers with n≥5n \ge 5, 2≤q≤n2 \le q \le n. Prove that q−1q-1 divides ⌊(n−1)!q⌋\left\lfloor \frac{(n-1)!}{q}\right\rfloor .
floor functionDivisibility Theory