If is a positive integer, find the greatest common divisor of the two numbers above.
Notation: denotes the factorial notation. For example, .
Find the sum of all natural numbers such that
Notations:
If and are integers, then which of the following expressions could be equal to 2018?
Is it also possible to find positive integers and such that
Positive integers from 1 to 3141 (inclusive) are written on a blackboard. Two numbers from the board are chosen, erased, and their greatest common divisor is written.
This is repeated until only one number remains on the blackboard. What is the maximum possible value of this number?