What is the 2845th prime number?
The 2845th prime number is 25849. The next prime is 25867 (a gap of 18) and the one before is 25847.
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 2845th one is 25849.
- 2
25849 is prime because no prime up to ā25849 ā 160.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2845th prime is close to 2845 Ć ln(2845) ā 22627, and here it is 25849.
- 4
25849 is a twin prime: 25847 and 25849 are both prime.
Primes around the 2845th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2842 | 25819 | 18 |
| 2843 | 25841 | 22 |
| 2844 | 25847 | 6 |
| 2845 | 25849 | 2 |
| 2846 | 25867 | 18 |
| 2847 | 25873 | 6 |
| 2848 | 25889 | 16 |
Questions
What is the 2845th prime number?
25849.
Which prime number is 25849?
25849 is the 2845th prime number.
What is the sum of the first 2845 primes?
34,516,878.