What is the 5911th prime number?
The 5911th prime number is 58391. The next prime is 58393 (a gap of 2) and the one before is 58379.
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 5911th one is 58391.
- 2
58391 is prime because no prime up to ā58391 ā 241.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5911th prime is close to 5911 Ć ln(5911) ā 51334, and here it is 58391.
- 4
58391 is a twin prime: 58391 and 58393 are both prime.
Primes around the 5911th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5908 | 58367 | 4 |
| 5909 | 58369 | 2 |
| 5910 | 58379 | 10 |
| 5911 | 58391 | 12 |
| 5912 | 58393 | 2 |
| 5913 | 58403 | 10 |
| 5914 | 58411 | 8 |
Questions
What is the 5911th prime number?
58391.
Which prime number is 58391?
58391 is the 5911th prime number.
What is the sum of the first 5911 primes?
163,207,652.