What is the 2708th prime number?
The 2708th prime number is 24391. The next prime is 24407 (a gap of 16) and the one before is 24379.
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 2708th one is 24391.
- 2
24391 is prime because no prime up to ā24391 ā 156.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2708th prime is close to 2708 Ć ln(2708) ā 21404, and here it is 24391.
- 4
24391 has no twin: neither 24389 nor 24393 is prime.
Primes around the 2708th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2705 | 24371 | 12 |
| 2706 | 24373 | 2 |
| 2707 | 24379 | 6 |
| 2708 | 24391 | 12 |
| 2709 | 24407 | 16 |
| 2710 | 24413 | 6 |
| 2711 | 24419 | 6 |
Questions
What is the 2708th prime number?
24391.
Which prime number is 24391?
24391 is the 2708th prime number.
What is the sum of the first 2708 primes?
31,071,629.