What is the 5895th prime number?
The 5895th prime number is 58207. The next prime is 58211 (a gap of 4) and the one before is 58199.
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 5895th one is 58207.
- 2
58207 is prime because no prime up to ā58207 ā 241.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5895th prime is close to 5895 Ć ln(5895) ā 51180, and here it is 58207.
- 4
58207 has no twin: neither 58205 nor 58209 is prime.
Primes around the 5895th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5892 | 58189 | 18 |
| 5893 | 58193 | 4 |
| 5894 | 58199 | 6 |
| 5895 | 58207 | 8 |
| 5896 | 58211 | 4 |
| 5897 | 58217 | 6 |
| 5898 | 58229 | 12 |
Questions
What is the 5895th prime number?
58207.
Which prime number is 58207?
58207 is the 5895th prime number.
What is the sum of the first 5895 primes?
162,274,864.