What is the 2797th prime number?
The 2797th prime number is 25357. The next prime is 25367 (a gap of 10) and the one before is 25349.
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 2797th one is 25357.
- 2
25357 is prime because no prime up to ā25357 ā 159.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2797th prime is close to 2797 Ć ln(2797) ā 22198, and here it is 25357.
- 4
25357 has no twin: neither 25355 nor 25359 is prime.
Primes around the 2797th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2794 | 25339 | 18 |
| 2795 | 25343 | 4 |
| 2796 | 25349 | 6 |
| 2797 | 25357 | 8 |
| 2798 | 25367 | 10 |
| 2799 | 25373 | 6 |
| 2800 | 25391 | 18 |
Questions
What is the 2797th prime number?
25357.
Which prime number is 25357?
25357 is the 2797th prime number.
What is the sum of the first 2797 primes?
33,287,414.