What is the 5807th prime number?
The 5807th prime number is 57259. The next prime is 57269 (a gap of 10) and the one before is 57251.
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 5807th one is 57259.
- 2
57259 is prime because no prime up to ā57259 ā 239.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5807th prime is close to 5807 Ć ln(5807) ā 50328, and here it is 57259.
- 4
57259 has no twin: neither 57257 nor 57261 is prime.
Primes around the 5807th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5804 | 57223 | 2 |
| 5805 | 57241 | 18 |
| 5806 | 57251 | 10 |
| 5807 | 57259 | 8 |
| 5808 | 57269 | 10 |
| 5809 | 57271 | 2 |
| 5810 | 57283 | 12 |
Questions
What is the 5807th prime number?
57259.
Which prime number is 57259?
57259 is the 5807th prime number.
What is the sum of the first 5807 primes?
157,192,454.