What is the 2714th prime number?
The 2714th prime number is 24443. The next prime is 24469 (a gap of 26) and the one before is 24439.
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 2714th one is 24443.
- 2
24443 is prime because no prime up to ā24443 ā 156.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2714th prime is close to 2714 Ć ln(2714) ā 21457, and here it is 24443.
- 4
24443 has no twin: neither 24441 nor 24445 is prime.
Primes around the 2714th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2711 | 24419 | 6 |
| 2712 | 24421 | 2 |
| 2713 | 24439 | 18 |
| 2714 | 24443 | 4 |
| 2715 | 24469 | 26 |
| 2716 | 24473 | 4 |
| 2717 | 24481 | 8 |
Questions
What is the 2714th prime number?
24443.
Which prime number is 24443?
24443 is the 2714th prime number.
What is the sum of the first 2714 primes?
31,218,171.