What is the 2792nd prime number?
The 2792nd prime number is 25309. The next prime is 25321 (a gap of 12) and the one before is 25307.
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 2792nd one is 25309.
- 2
25309 is prime because no prime up to ā25309 ā 159.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2792nd prime is close to 2792 Ć ln(2792) ā 22153, and here it is 25309.
- 4
25309 is a twin prime: 25307 and 25309 are both prime.
Primes around the 2792nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2789 | 25301 | 40 |
| 2790 | 25303 | 2 |
| 2791 | 25307 | 4 |
| 2792 | 25309 | 2 |
| 2793 | 25321 | 12 |
| 2794 | 25339 | 18 |
| 2795 | 25343 | 4 |
Questions
What is the 2792nd prime number?
25309.
Which prime number is 25309?
25309 is the 2792nd prime number.
What is the sum of the first 2792 primes?
33,160,705.