What is the 2836th prime number?
The 2836th prime number is 25759. The next prime is 25763 (a gap of 4) and the one before is 25747.
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 2836th one is 25759.
- 2
25759 is prime because no prime up to ā25759 ā 160.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2836th prime is close to 2836 Ć ln(2836) ā 22547, and here it is 25759.
- 4
25759 has no twin: neither 25757 nor 25761 is prime.
Primes around the 2836th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2833 | 25733 | 16 |
| 2834 | 25741 | 8 |
| 2835 | 25747 | 6 |
| 2836 | 25759 | 12 |
| 2837 | 25763 | 4 |
| 2838 | 25771 | 8 |
| 2839 | 25793 | 22 |
Questions
What is the 2836th prime number?
25759.
Which prime number is 25759?
25759 is the 2836th prime number.
What is the sum of the first 2836 primes?
34,284,595.