What is the 5897th prime number?
The 5897th prime number is 58217. The next prime is 58229 (a gap of 12) and the one before is 58211.
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 5897th one is 58217.
- 2
58217 is prime because no prime up to ā58217 ā 241.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5897th prime is close to 5897 Ć ln(5897) ā 51199, and here it is 58217.
- 4
58217 has no twin: neither 58215 nor 58219 is prime.
Primes around the 5897th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5894 | 58199 | 6 |
| 5895 | 58207 | 8 |
| 5896 | 58211 | 4 |
| 5897 | 58217 | 6 |
| 5898 | 58229 | 12 |
| 5899 | 58231 | 2 |
| 5900 | 58237 | 6 |
Questions
What is the 5897th prime number?
58217.
Which prime number is 58217?
58217 is the 5897th prime number.
What is the sum of the first 5897 primes?
162,391,292.