What is the 5898th prime number?
The 5898th prime number is 58229. The next prime is 58231 (a gap of 2) and the one before is 58217.
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 5898th one is 58229.
- 2
58229 is prime because no prime up to ā58229 ā 241.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5898th prime is close to 5898 Ć ln(5898) ā 51209, and here it is 58229.
- 4
58229 is a twin prime: 58229 and 58231 are both prime.
Primes around the 5898th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5895 | 58207 | 8 |
| 5896 | 58211 | 4 |
| 5897 | 58217 | 6 |
| 5898 | 58229 | 12 |
| 5899 | 58231 | 2 |
| 5900 | 58237 | 6 |
| 5901 | 58243 | 6 |
Questions
What is the 5898th prime number?
58229.
Which prime number is 58229?
58229 is the 5898th prime number.
What is the sum of the first 5898 primes?
162,449,521.