 Solution

ID: past-exam-of-the-options-i-course-of-the-university-of-oxford/2011/c/1/a/ii/solution

n > 1

is a product of prime numbers, uniquely up to reordering. Equivalently,

n = \prod_{p} p^{a_{p}}

for a unique family of nonnegative integer exponents, only finitely many of which are nonzero.

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