What is the 2808th prime number?
The 2808th prime number is 25463. The next prime is 25469 (a gap of 6) and the one before is 25457.
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 2808th one is 25463.
- 2
25463 is prime because no prime up to ā25463 ā 159.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2808th prime is close to 2808 Ć ln(2808) ā 22296, and here it is 25463.
- 4
25463 has no twin: neither 25461 nor 25465 is prime.
Primes around the 2808th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2805 | 25447 | 8 |
| 2806 | 25453 | 6 |
| 2807 | 25457 | 4 |
| 2808 | 25463 | 6 |
| 2809 | 25469 | 6 |
| 2810 | 25471 | 2 |
| 2811 | 25523 | 52 |
Questions
What is the 2808th prime number?
25463.
Which prime number is 25463?
25463 is the 2808th prime number.
What is the sum of the first 2808 primes?
33,567,047.