What is the 5899th prime number?
The 5899th prime number is 58231. The next prime is 58237 (a gap of 6) and the one before is 58229.
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 5899th one is 58231.
- 2
58231 is prime because no prime up to ā58231 ā 241.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5899th prime is close to 5899 Ć ln(5899) ā 51218, and here it is 58231.
- 4
58231 is a twin prime: 58229 and 58231 are both prime.
Primes around the 5899th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5896 | 58211 | 4 |
| 5897 | 58217 | 6 |
| 5898 | 58229 | 12 |
| 5899 | 58231 | 2 |
| 5900 | 58237 | 6 |
| 5901 | 58243 | 6 |
| 5902 | 58271 | 28 |
Questions
What is the 5899th prime number?
58231.
Which prime number is 58231?
58231 is the 5899th prime number.
What is the sum of the first 5899 primes?
162,507,752.