What is the 2796th prime number?
The 2796th prime number is 25349. The next prime is 25357 (a gap of 8) and the one before is 25343.
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 2796th one is 25349.
- 2
25349 is prime because no prime up to ā25349 ā 159.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2796th prime is close to 2796 Ć ln(2796) ā 22189, and here it is 25349.
- 4
25349 has no twin: neither 25347 nor 25351 is prime.
Primes around the 2796th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2793 | 25321 | 12 |
| 2794 | 25339 | 18 |
| 2795 | 25343 | 4 |
| 2796 | 25349 | 6 |
| 2797 | 25357 | 8 |
| 2798 | 25367 | 10 |
| 2799 | 25373 | 6 |
Questions
What is the 2796th prime number?
25349.
Which prime number is 25349?
25349 is the 2796th prime number.
What is the sum of the first 2796 primes?
33,262,057.