What is the 5799th prime number?
The 5799th prime number is 57179. The next prime is 57191 (a gap of 12) and the one before is 57173.
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 5799th one is 57179.
- 2
57179 is prime because no prime up to ā57179 ā 239.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5799th prime is close to 5799 Ć ln(5799) ā 50251, and here it is 57179.
- 4
57179 has no twin: neither 57177 nor 57181 is prime.
Primes around the 5799th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5796 | 57149 | 6 |
| 5797 | 57163 | 14 |
| 5798 | 57173 | 10 |
| 5799 | 57179 | 6 |
| 5800 | 57191 | 12 |
| 5801 | 57193 | 2 |
| 5802 | 57203 | 10 |
Questions
What is the 5799th prime number?
57179.
Which prime number is 57179?
57179 is the 5799th prime number.
What is the sum of the first 5799 primes?
156,734,672.