The prime number theorem
Nickerson, Earl R.
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In Chapter 1 of this thesis we give some elementary definitions and prove the following three theorems: 1.1 Every positive integer n greater than one can be expressed in the form n=p1p2...pk where each of the pi is a prime number. 1.2 Every integer n greater than one can be expressed in standard form in one and only one way. If we write n=(p1^a1)(p2^a2).....(pj^aj), where p1< p2 <...< pj and each ai is greater than 0, then n is expressed in standard form. 1.3 The number of prime numbers is infinite [TRUNCATED]
Thesis (M.A.)--Boston University.