What is the 5817th prime number?
The 5817th prime number is 57367. The next prime is 57373 (a gap of 6) and the one before is 57349.
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 5817th one is 57367.
- 2
57367 is prime because no prime up to ā57367 ā 239.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5817th prime is close to 5817 Ć ln(5817) ā 50425, and here it is 57367.
- 4
57367 has no twin: neither 57365 nor 57369 is prime.
Primes around the 5817th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5814 | 57331 | 2 |
| 5815 | 57347 | 16 |
| 5816 | 57349 | 2 |
| 5817 | 57367 | 18 |
| 5818 | 57373 | 6 |
| 5819 | 57383 | 10 |
| 5820 | 57389 | 6 |
Questions
What is the 5817th prime number?
57367.
Which prime number is 57367?
57367 is the 5817th prime number.
What is the sum of the first 5817 primes?
157,765,588.