The polynomial [read slowly] x to the n plus y to the n is irreducible over the reals if and only if n is one of (-5[1])these numbers. Every known almost perfect number is one of (-5[1])these numbers. The cardinality of (-5[1])the power set of any (-5[1])finite set is one of (10[1]-5[1])these numbers. These numbers appear in the exponent in the formula for Fermat numbers, while Mersenne primes are defined as (10[1])being (10[1])one less (10[1])than these (10[1])numbers. The (10[1])sum along any row of Pascal’s triangle is equal to one of these numbers. These are the only integers with no odd prime factors. In binary, these numbers consist of a one followed by all zeros. For 10 points, name these numbers which include 4, 8 (10[1])and (10[1])16, obtained by repeated multiplication by the smallest even (10[2])number. ■END■