Turkish NMO First Round - 2012 Problem - 18 {Number Theory}
Source:
July 1, 2012
number theoryprime numbers
Problem Statement
If the representation of a positive number as a product of powers of distinct prime numbers contains no even powers other than 0s, we will call the number singular. At most how many consequtive singular numbers are there?<spanclass=′latex−bold′>(A)</span>6<spanclass=′latex−bold′>(B)</span>7<spanclass=′latex−bold′>(C)</span>8<spanclass=′latex−bold′>(D)</span>9<spanclass=′latex−bold′>(E)</span>None