Question 86
For any natural number $n$, the amount $1+\frac{1}{2}+\ldots+\frac{1}{n}$ It is written in the form $\frac{p_{n}}{q_{n}}$ where $p_{n}$ şi $q_{n}$ They are prime natural numbers between them.
a. Show that $p_{67}$ It is not divided by 3.
b. Determine all nonzero natural numbers $n$, for which $p_{n}$ It is divisible by 3.
a. Show that $p_{67}$ It is not divided by 3.
b. Determine all nonzero natural numbers $n$, for which $p_{n}$ It is divisible by 3.