What is the 2793rd prime number?
The 2793rd prime number is 25321. The next prime is 25339 (a gap of 18) and the one before is 25309.
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 2793rd one is 25321.
- 2
25321 is prime because no prime up to ā25321 ā 159.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2793rd prime is close to 2793 Ć ln(2793) ā 22162, and here it is 25321.
- 4
25321 has no twin: neither 25319 nor 25323 is prime.
Primes around the 2793rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2790 | 25303 | 2 |
| 2791 | 25307 | 4 |
| 2792 | 25309 | 2 |
| 2793 | 25321 | 12 |
| 2794 | 25339 | 18 |
| 2795 | 25343 | 4 |
| 2796 | 25349 | 6 |
Questions
What is the 2793rd prime number?
25321.
Which prime number is 25321?
25321 is the 2793rd prime number.
What is the sum of the first 2793 primes?
33,186,026.