What is the 4690th prime number?
The 4690th prime number is 45181. The next prime is 45191 (a gap of 10) and the one before is 45179.
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 4690th one is 45181.
- 2
45181 is prime because no prime up to ā45181 ā 212.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4690th prime is close to 4690 Ć ln(4690) ā 39645, and here it is 45181.
- 4
45181 is a twin prime: 45179 and 45181 are both prime.
Primes around the 4690th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4687 | 45139 | 2 |
| 4688 | 45161 | 22 |
| 4689 | 45179 | 18 |
| 4690 | 45181 | 2 |
| 4691 | 45191 | 10 |
| 4692 | 45197 | 6 |
| 4693 | 45233 | 36 |
Questions
What is the 4690th prime number?
45181.
Which prime number is 45181?
45181 is the 4690th prime number.
What is the sum of the first 4690 primes?
99,909,989.