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What is the greatest integer divides p^4 -1 for every prime number p greater than 5?
It is 240. Why?
Thanks!
It is 240. Why?
Thanks!
The greatest integer, also known as the floor function, is used to round down a decimal number to the nearest integer. In this expression, it is used to ensure that the result is a whole number.
The value of p directly affects the result of p^4 - 1. As p increases, the result will also increase, and as p decreases, the result will also decrease. This is because raising a number to a higher power will result in a larger number.
Yes, any real number can be substituted for p in this expression. However, if a non-integer value is used, the result may also be a decimal number, depending on the value of p.
The use of the greatest integer ensures that the result will always be a whole number. This is important in many mathematical calculations and can provide more accurate results in certain situations.
Yes, there are a few special cases for this expression. If p is equal to 0, the result will be -1. If p is equal to 1, the result will be 0. And if p is equal to -1, the result will be 2. These values can be confirmed by substituting them into the expression and using the greatest integer function.