What is the 5791st prime number?
The 5791st prime number is 57107. The next prime is 57119 (a gap of 12) and the one before is 57097.
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 5791st one is 57107.
- 2
57107 is prime because no prime up to ā57107 ā 238.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5791st prime is close to 5791 Ć ln(5791) ā 50174, and here it is 57107.
- 4
57107 has no twin: neither 57105 nor 57109 is prime.
Primes around the 5791st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5788 | 57077 | 4 |
| 5789 | 57089 | 12 |
| 5790 | 57097 | 8 |
| 5791 | 57107 | 10 |
| 5792 | 57119 | 12 |
| 5793 | 57131 | 12 |
| 5794 | 57139 | 8 |
Questions
What is the 5791st prime number?
57107.
Which prime number is 57107?
57107 is the 5791st prime number.
What is the sum of the first 5791 primes?
156,277,476.