- #1
anemone
Gold Member
MHB
POTW Director
- 3,883
- 115
Let $p$ be a prime number. Find the fractional part of $\dfrac{(p+1)!}{p^2}$.
The purpose of finding the fractional part of $(p+1)!/(p^2)$ is to determine the decimal representation of the resulting fraction. This can be useful in various mathematical calculations and applications.
The fractional part of $(p+1)!/(p^2)$ is calculated by dividing the numerator by the denominator and taking the remainder. This remainder represents the fractional part of the resulting fraction.
Yes, the fractional part of $(p+1)!/(p^2)$ can be simplified by dividing both the numerator and denominator by their greatest common factor.
The range of values for the fractional part of $(p+1)!/(p^2)$ is between 0 and 1, inclusive. This means that the resulting fraction will always have a decimal value between 0 and 1.
Yes, there are a few special cases to consider when finding the fractional part of $(p+1)!/(p^2)$. These include when the numerator is a multiple of the denominator, resulting in a fractional part of 0, and when the denominator is 0, resulting in an undefined fractional part.