What is the 5797th prime number?
The 5797th prime number is 57163. The next prime is 57173 (a gap of 10) and the one before is 57149.
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 5797th one is 57163.
- 2
57163 is prime because no prime up to ā57163 ā 239.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5797th prime is close to 5797 Ć ln(5797) ā 50232, and here it is 57163.
- 4
57163 has no twin: neither 57161 nor 57165 is prime.
Primes around the 5797th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5794 | 57139 | 8 |
| 5795 | 57143 | 4 |
| 5796 | 57149 | 6 |
| 5797 | 57163 | 14 |
| 5798 | 57173 | 10 |
| 5799 | 57179 | 6 |
| 5800 | 57191 | 12 |
Questions
What is the 5797th prime number?
57163.
Which prime number is 57163?
57163 is the 5797th prime number.
What is the sum of the first 5797 primes?
156,620,320.