What is the 2798th prime number?
The 2798th prime number is 25367. The next prime is 25373 (a gap of 6) and the one before is 25357.
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 2798th one is 25367.
- 2
25367 is prime because no prime up to ā25367 ā 159.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2798th prime is close to 2798 Ć ln(2798) ā 22207, and here it is 25367.
- 4
25367 has no twin: neither 25365 nor 25369 is prime.
Primes around the 2798th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2795 | 25343 | 4 |
| 2796 | 25349 | 6 |
| 2797 | 25357 | 8 |
| 2798 | 25367 | 10 |
| 2799 | 25373 | 6 |
| 2800 | 25391 | 18 |
| 2801 | 25409 | 18 |
Questions
What is the 2798th prime number?
25367.
Which prime number is 25367?
25367 is the 2798th prime number.
What is the sum of the first 2798 primes?
33,312,781.