What is the 2799th prime number?
The 2799th prime number is 25373. The next prime is 25391 (a gap of 18) and the one before is 25367.
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 2799th one is 25373.
- 2
25373 is prime because no prime up to ā25373 ā 159.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2799th prime is close to 2799 Ć ln(2799) ā 22216, and here it is 25373.
- 4
25373 has no twin: neither 25371 nor 25375 is prime.
Primes around the 2799th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2796 | 25349 | 6 |
| 2797 | 25357 | 8 |
| 2798 | 25367 | 10 |
| 2799 | 25373 | 6 |
| 2800 | 25391 | 18 |
| 2801 | 25409 | 18 |
| 2802 | 25411 | 2 |
Questions
What is the 2799th prime number?
25373.
Which prime number is 25373?
25373 is the 2799th prime number.
What is the sum of the first 2799 primes?
33,338,154.