What is the 4689th prime number?
The 4689th prime number is 45179. The next prime is 45181 (a gap of 2) and the one before is 45161.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4689th one is 45179.
- 2
45179 is prime because no prime up to ā45179 ā 212.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4689th prime is close to 4689 Ć ln(4689) ā 39636, and here it is 45179.
- 4
45179 is a twin prime: 45179 and 45181 are both prime.
Primes around the 4689th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4686 | 45137 | 6 |
| 4687 | 45139 | 2 |
| 4688 | 45161 | 22 |
| 4689 | 45179 | 18 |
| 4690 | 45181 | 2 |
| 4691 | 45191 | 10 |
| 4692 | 45197 | 6 |
Questions
What is the 4689th prime number?
45179.
Which prime number is 45179?
45179 is the 4689th prime number.
What is the sum of the first 4689 primes?
99,864,808.