What is the 5814th prime number?
The 5814th prime number is 57331. The next prime is 57347 (a gap of 16) and the one before is 57329.
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 5814th one is 57331.
- 2
57331 is prime because no prime up to ā57331 ā 239.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5814th prime is close to 5814 Ć ln(5814) ā 50396, and here it is 57331.
- 4
57331 is a twin prime: 57329 and 57331 are both prime.
Primes around the 5814th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5811 | 57287 | 4 |
| 5812 | 57301 | 14 |
| 5813 | 57329 | 28 |
| 5814 | 57331 | 2 |
| 5815 | 57347 | 16 |
| 5816 | 57349 | 2 |
| 5817 | 57367 | 18 |
Questions
What is the 5814th prime number?
57331.
Which prime number is 57331?
57331 is the 5814th prime number.
What is the sum of the first 5814 primes?
157,593,525.