What is the 2791st prime number?
The 2791st prime number is 25307. The next prime is 25309 (a gap of 2) and the one before is 25303.
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 2791st one is 25307.
- 2
25307 is prime because no prime up to ā25307 ā 159.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2791st prime is close to 2791 Ć ln(2791) ā 22144, and here it is 25307.
- 4
25307 is a twin prime: 25307 and 25309 are both prime.
Primes around the 2791st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2788 | 25261 | 8 |
| 2789 | 25301 | 40 |
| 2790 | 25303 | 2 |
| 2791 | 25307 | 4 |
| 2792 | 25309 | 2 |
| 2793 | 25321 | 12 |
| 2794 | 25339 | 18 |
Questions
What is the 2791st prime number?
25307.
Which prime number is 25307?
25307 is the 2791st prime number.
What is the sum of the first 2791 primes?
33,135,396.