What is the 2795th prime number?
The 2795th prime number is 25343. The next prime is 25349 (a gap of 6) and the one before is 25339.
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 2795th one is 25343.
- 2
25343 is prime because no prime up to ā25343 ā 159.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2795th prime is close to 2795 Ć ln(2795) ā 22180, and here it is 25343.
- 4
25343 has no twin: neither 25341 nor 25345 is prime.
Primes around the 2795th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2792 | 25309 | 2 |
| 2793 | 25321 | 12 |
| 2794 | 25339 | 18 |
| 2795 | 25343 | 4 |
| 2796 | 25349 | 6 |
| 2797 | 25357 | 8 |
| 2798 | 25367 | 10 |
Questions
What is the 2795th prime number?
25343.
Which prime number is 25343?
25343 is the 2795th prime number.
What is the sum of the first 2795 primes?
33,236,708.