What is the 5800th prime number?
The 5800th prime number is 57191. The next prime is 57193 (a gap of 2) and the one before is 57179.
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 5800th one is 57191.
- 2
57191 is prime because no prime up to ā57191 ā 239.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5800th prime is close to 5800 Ć ln(5800) ā 50261, and here it is 57191.
- 4
57191 is a twin prime: 57191 and 57193 are both prime.
Primes around the 5800th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5797 | 57163 | 14 |
| 5798 | 57173 | 10 |
| 5799 | 57179 | 6 |
| 5800 | 57191 | 12 |
| 5801 | 57193 | 2 |
| 5802 | 57203 | 10 |
| 5803 | 57221 | 18 |
Questions
What is the 5800th prime number?
57191.
Which prime number is 57191?
57191 is the 5800th prime number.
What is the sum of the first 5800 primes?
156,791,863.