What is the 2840th prime number?
The 2840th prime number is 25799. The next prime is 25801 (a gap of 2) and the one before is 25793.
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 2840th one is 25799.
- 2
25799 is prime because no prime up to ā25799 ā 160.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2840th prime is close to 2840 Ć ln(2840) ā 22582, and here it is 25799.
- 4
25799 is a twin prime: 25799 and 25801 are both prime.
Primes around the 2840th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2837 | 25763 | 4 |
| 2838 | 25771 | 8 |
| 2839 | 25793 | 22 |
| 2840 | 25799 | 6 |
| 2841 | 25801 | 2 |
| 2842 | 25819 | 18 |
| 2843 | 25841 | 22 |
Questions
What is the 2840th prime number?
25799.
Which prime number is 25799?
25799 is the 2840th prime number.
What is the sum of the first 2840 primes?
34,387,721.