What is the 5798th prime number?
The 5798th prime number is 57173. The next prime is 57179 (a gap of 6) and the one before is 57163.
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 5798th one is 57173.
- 2
57173 is prime because no prime up to ā57173 ā 239.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5798th prime is close to 5798 Ć ln(5798) ā 50241, and here it is 57173.
- 4
57173 has no twin: neither 57171 nor 57175 is prime.
Primes around the 5798th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5795 | 57143 | 4 |
| 5796 | 57149 | 6 |
| 5797 | 57163 | 14 |
| 5798 | 57173 | 10 |
| 5799 | 57179 | 6 |
| 5800 | 57191 | 12 |
| 5801 | 57193 | 2 |
Questions
What is the 5798th prime number?
57173.
Which prime number is 57173?
57173 is the 5798th prime number.
What is the sum of the first 5798 primes?
156,677,493.