What is the 5810th prime number?
The 5810th prime number is 57283. The next prime is 57287 (a gap of 4) and the one before is 57271.
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 5810th one is 57283.
- 2
57283 is prime because no prime up to ā57283 ā 239.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5810th prime is close to 5810 Ć ln(5810) ā 50357, and here it is 57283.
- 4
57283 has no twin: neither 57281 nor 57285 is prime.
Primes around the 5810th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5807 | 57259 | 8 |
| 5808 | 57269 | 10 |
| 5809 | 57271 | 2 |
| 5810 | 57283 | 12 |
| 5811 | 57287 | 4 |
| 5812 | 57301 | 14 |
| 5813 | 57329 | 28 |
Questions
What is the 5810th prime number?
57283.
Which prime number is 57283?
57283 is the 5810th prime number.
What is the sum of the first 5810 primes?
157,364,277.