What is the 5808th prime number?
The 5808th prime number is 57269. The next prime is 57271 (a gap of 2) and the one before is 57259.
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 5808th one is 57269.
- 2
57269 is prime because no prime up to ā57269 ā 239.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5808th prime is close to 5808 Ć ln(5808) ā 50338, and here it is 57269.
- 4
57269 is a twin prime: 57269 and 57271 are both prime.
Primes around the 5808th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5805 | 57241 | 18 |
| 5806 | 57251 | 10 |
| 5807 | 57259 | 8 |
| 5808 | 57269 | 10 |
| 5809 | 57271 | 2 |
| 5810 | 57283 | 12 |
| 5811 | 57287 | 4 |
Questions
What is the 5808th prime number?
57269.
Which prime number is 57269?
57269 is the 5808th prime number.
What is the sum of the first 5808 primes?
157,249,723.