What is the 2844th prime number?
The 2844th prime number is 25847. The next prime is 25849 (a gap of 2) and the one before is 25841.
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 2844th one is 25847.
- 2
25847 is prime because no prime up to ā25847 ā 160.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2844th prime is close to 2844 Ć ln(2844) ā 22618, and here it is 25847.
- 4
25847 is a twin prime: 25847 and 25849 are both prime.
Primes around the 2844th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2841 | 25801 | 2 |
| 2842 | 25819 | 18 |
| 2843 | 25841 | 22 |
| 2844 | 25847 | 6 |
| 2845 | 25849 | 2 |
| 2846 | 25867 | 18 |
| 2847 | 25873 | 6 |
Questions
What is the 2844th prime number?
25847.
Which prime number is 25847?
25847 is the 2844th prime number.
What is the sum of the first 2844 primes?
34,491,029.