What is the 5809th prime number?
The 5809th prime number is 57271. The next prime is 57283 (a gap of 12) and the one before is 57269.
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 5809th one is 57271.
- 2
57271 is prime because no prime up to ā57271 ā 239.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5809th prime is close to 5809 Ć ln(5809) ā 50348, and here it is 57271.
- 4
57271 is a twin prime: 57269 and 57271 are both prime.
Primes around the 5809th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5806 | 57251 | 10 |
| 5807 | 57259 | 8 |
| 5808 | 57269 | 10 |
| 5809 | 57271 | 2 |
| 5810 | 57283 | 12 |
| 5811 | 57287 | 4 |
| 5812 | 57301 | 14 |
Questions
What is the 5809th prime number?
57271.
Which prime number is 57271?
57271 is the 5809th prime number.
What is the sum of the first 5809 primes?
157,306,994.