What is the 2789th prime number?
The 2789th prime number is 25301. The next prime is 25303 (a gap of 2) and the one before is 25261.
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 2789th one is 25301.
- 2
25301 is prime because no prime up to ā25301 ā 159.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2789th prime is close to 2789 Ć ln(2789) ā 22126, and here it is 25301.
- 4
25301 is a twin prime: 25301 and 25303 are both prime.
Primes around the 2789th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2786 | 25247 | 4 |
| 2787 | 25253 | 6 |
| 2788 | 25261 | 8 |
| 2789 | 25301 | 40 |
| 2790 | 25303 | 2 |
| 2791 | 25307 | 4 |
| 2792 | 25309 | 2 |
Questions
What is the 2789th prime number?
25301.
Which prime number is 25301?
25301 is the 2789th prime number.
What is the sum of the first 2789 primes?
33,084,786.