For 10 points, name these numbers equal to an integer times itself.
A conjecture of Erdős (AIR-dish) states that there are only three Brown numbers, which are numbers with this property that are one more than a factorial number. The Möbius function of an integer is zero if that integer has a non-trivial factor with this property. All prime numbers of the form 4k-plus-one can be expressed as the sum of two numbers with this property, and according to a theorem of Lagrange, every natural number can be expressed as the sum of four of these numbers. The sum of two consecutive triangular numbers has this property. Integers with this property have an odd number of factors, and their prime factorizations have only even exponents. For 10 points, name these numbers equal to an integer times itself.
A conjecture of Erdős (AIR-dish) states that there are only three Brown numbers, which are numbers with this property that are one more than a factorial number.
perfect squares [or square numbers] &lt;Thompson&gt;