What is the 2847th prime number?
The 2847th prime number is 25873. The next prime is 25889 (a gap of 16) and the one before is 25867.
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 2847th one is 25873.
- 2
25873 is prime because no prime up to ā25873 ā 160.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2847th prime is close to 2847 Ć ln(2847) ā 22645, and here it is 25873.
- 4
25873 has no twin: neither 25871 nor 25875 is prime.
Primes around the 2847th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2844 | 25847 | 6 |
| 2845 | 25849 | 2 |
| 2846 | 25867 | 18 |
| 2847 | 25873 | 6 |
| 2848 | 25889 | 16 |
| 2849 | 25903 | 14 |
| 2850 | 25913 | 10 |
Questions
What is the 2847th prime number?
25873.
Which prime number is 25873?
25873 is the 2847th prime number.
What is the sum of the first 2847 primes?
34,568,618.