What is the 2794th prime number?
The 2794th prime number is 25339. The next prime is 25343 (a gap of 4) and the one before is 25321.
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 2794th one is 25339.
- 2
25339 is prime because no prime up to ā25339 ā 159.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2794th prime is close to 2794 Ć ln(2794) ā 22171, and here it is 25339.
- 4
25339 has no twin: neither 25337 nor 25341 is prime.
Primes around the 2794th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2791 | 25307 | 4 |
| 2792 | 25309 | 2 |
| 2793 | 25321 | 12 |
| 2794 | 25339 | 18 |
| 2795 | 25343 | 4 |
| 2796 | 25349 | 6 |
| 2797 | 25357 | 8 |
Questions
What is the 2794th prime number?
25339.
Which prime number is 25339?
25339 is the 2794th prime number.
What is the sum of the first 2794 primes?
33,211,365.