What is the 2839th prime number?
The 2839th prime number is 25793. The next prime is 25799 (a gap of 6) and the one before is 25771.
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 2839th one is 25793.
- 2
25793 is prime because no prime up to ā25793 ā 160.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2839th prime is close to 2839 Ć ln(2839) ā 22573, and here it is 25793.
- 4
25793 has no twin: neither 25791 nor 25795 is prime.
Primes around the 2839th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2836 | 25759 | 12 |
| 2837 | 25763 | 4 |
| 2838 | 25771 | 8 |
| 2839 | 25793 | 22 |
| 2840 | 25799 | 6 |
| 2841 | 25801 | 2 |
| 2842 | 25819 | 18 |
Questions
What is the 2839th prime number?
25793.
Which prime number is 25793?
25793 is the 2839th prime number.
What is the sum of the first 2839 primes?
34,361,922.