What is the 5910th prime number?
The 5910th prime number is 58379. The next prime is 58391 (a gap of 12) and the one before is 58369.
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 5910th one is 58379.
- 2
58379 is prime because no prime up to ā58379 ā 241.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5910th prime is close to 5910 Ć ln(5910) ā 51325, and here it is 58379.
- 4
58379 has no twin: neither 58377 nor 58381 is prime.
Primes around the 5910th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5907 | 58363 | 26 |
| 5908 | 58367 | 4 |
| 5909 | 58369 | 2 |
| 5910 | 58379 | 10 |
| 5911 | 58391 | 12 |
| 5912 | 58393 | 2 |
| 5913 | 58403 | 10 |
Questions
What is the 5910th prime number?
58379.
Which prime number is 58379?
58379 is the 5910th prime number.
What is the sum of the first 5910 primes?
163,149,261.