What is the 2790th prime number?
The 2790th prime number is 25303. The next prime is 25307 (a gap of 4) and the one before is 25301.
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 2790th one is 25303.
- 2
25303 is prime because no prime up to ā25303 ā 159.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2790th prime is close to 2790 Ć ln(2790) ā 22135, and here it is 25303.
- 4
25303 is a twin prime: 25301 and 25303 are both prime.
Primes around the 2790th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2787 | 25253 | 6 |
| 2788 | 25261 | 8 |
| 2789 | 25301 | 40 |
| 2790 | 25303 | 2 |
| 2791 | 25307 | 4 |
| 2792 | 25309 | 2 |
| 2793 | 25321 | 12 |
Questions
What is the 2790th prime number?
25303.
Which prime number is 25303?
25303 is the 2790th prime number.
What is the sum of the first 2790 primes?
33,110,089.