What is the 2848th prime number?
The 2848th prime number is 25889. The next prime is 25903 (a gap of 14) and the one before is 25873.
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 2848th one is 25889.
- 2
25889 is prime because no prime up to ā25889 ā 160.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2848th prime is close to 2848 Ć ln(2848) ā 22654, and here it is 25889.
- 4
25889 has no twin: neither 25887 nor 25891 is prime.
Primes around the 2848th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2845 | 25849 | 2 |
| 2846 | 25867 | 18 |
| 2847 | 25873 | 6 |
| 2848 | 25889 | 16 |
| 2849 | 25903 | 14 |
| 2850 | 25913 | 10 |
| 2851 | 25919 | 6 |
Questions
What is the 2848th prime number?
25889.
Which prime number is 25889?
25889 is the 2848th prime number.
What is the sum of the first 2848 primes?
34,594,507.