What is the 5908th prime number?
The 5908th prime number is 58367. The next prime is 58369 (a gap of 2) and the one before is 58363.
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 5908th one is 58367.
- 2
58367 is prime because no prime up to ā58367 ā 241.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5908th prime is close to 5908 Ć ln(5908) ā 51305, and here it is 58367.
- 4
58367 is a twin prime: 58367 and 58369 are both prime.
Primes around the 5908th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5905 | 58321 | 8 |
| 5906 | 58337 | 16 |
| 5907 | 58363 | 26 |
| 5908 | 58367 | 4 |
| 5909 | 58369 | 2 |
| 5910 | 58379 | 10 |
| 5911 | 58391 | 12 |
Questions
What is the 5908th prime number?
58367.
Which prime number is 58367?
58367 is the 5908th prime number.
What is the sum of the first 5908 primes?
163,032,513.