Category:Divisibility of Numerator of Sum of Sequence of Reciprocals
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This category contains pages concerning Divisibility of Numerator of Sum of Sequence of Reciprocals:
Let $p$ be a prime number such that $p > 3$.
Consider the sum of the finite sequence of reciprocals as follows:
- $S = 1 + \dfrac 1 2 + \dfrac 1 3 + \cdots + \dfrac 1 {p - 1}$
Let $S$ be expressed as a fraction in canonical form, that is:
- $S = \dfrac a b$
where $a$ and $b$ are coprime.
Then:
- $p^2 \divides a$
where $\divides$ denotes divisibility.
Pages in category "Divisibility of Numerator of Sum of Sequence of Reciprocals"
The following 2 pages are in this category, out of 2 total.