What is the 5813th prime number?
The 5813th prime number is 57329. The next prime is 57331 (a gap of 2) and the one before is 57301.
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 5813th one is 57329.
- 2
57329 is prime because no prime up to ā57329 ā 239.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5813th prime is close to 5813 Ć ln(5813) ā 50386, and here it is 57329.
- 4
57329 is a twin prime: 57329 and 57331 are both prime.
Primes around the 5813th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5810 | 57283 | 12 |
| 5811 | 57287 | 4 |
| 5812 | 57301 | 14 |
| 5813 | 57329 | 28 |
| 5814 | 57331 | 2 |
| 5815 | 57347 | 16 |
| 5816 | 57349 | 2 |
Questions
What is the 5813th prime number?
57329.
Which prime number is 57329?
57329 is the 5813th prime number.
What is the sum of the first 5813 primes?
157,536,194.