For Mathematicians Only Here's a little idea I have in the realm of transfinite mathematics. It is said that the smallest transfinite cardinality is aleph-null, the cardinality of the set of integers. It is my belief that a smaller transfinite cardinality exists, that being the cardinality of the set of prime numbers. It appears to me that the power set of the set of primes is imbedded in the set of integers. (The power set of a set A is equal to the set of all subsets of A.) If this supposition is true the cardinality of the set of primes is less than the cardinality of the set of integers. Neglecting the numbers zero and one, the elements of the power set of the set of primes can be shown to have a one to one correspondence with a subset of the set of integers. This can be done in the following manner. If the product of all the elements of a member of the power set of the set of primes is taken, this product corresponds to an integer. In this way, all members of this power set correspond to a different integer. Not all integers are represented. Thus, the power set of the set of primes is embedded in the set of integers and aleph-prime (the cardinality of the set of primes) is less than aleph-null. This follows from Cantor's Theorem which states that the power set of any set has a cardinality greater than the original set. Please send your comments to me c/o Home Power Magazine.