What is the 2712th prime number?
The 2712th prime number is 24421. The next prime is 24439 (a gap of 18) and the one before is 24419.
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 2712th one is 24421.
- 2
24421 is prime because no prime up to ā24421 ā 156.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2712th prime is close to 2712 Ć ln(2712) ā 21440, and here it is 24421.
- 4
24421 is a twin prime: 24419 and 24421 are both prime.
Primes around the 2712th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2709 | 24407 | 16 |
| 2710 | 24413 | 6 |
| 2711 | 24419 | 6 |
| 2712 | 24421 | 2 |
| 2713 | 24439 | 18 |
| 2714 | 24443 | 4 |
| 2715 | 24469 | 26 |
Questions
What is the 2712th prime number?
24421.
Which prime number is 24421?
24421 is the 2712th prime number.
What is the sum of the first 2712 primes?
31,169,289.