Creative numbers
Problem 616
Alice plays the following game, she starts with a list of integers and on each step she can either:
For example starting from the list , Alice can remove and add and resulting in in a first step. Then she can obtain in a second step.
Note that the same integer is allowed to appear multiple times in the list.
An integer is said to be creative if for any integer Alice can obtain a list that contains starting from .
Find the sum of all creative integers less than or equal to .