What is the 2713th prime number?
The 2713th prime number is 24439. The next prime is 24443 (a gap of 4) and the one before is 24421.
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 2713th one is 24439.
- 2
24439 is prime because no prime up to ā24439 ā 156.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2713th prime is close to 2713 Ć ln(2713) ā 21448, and here it is 24439.
- 4
24439 has no twin: neither 24437 nor 24441 is prime.
Primes around the 2713th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2710 | 24413 | 6 |
| 2711 | 24419 | 6 |
| 2712 | 24421 | 2 |
| 2713 | 24439 | 18 |
| 2714 | 24443 | 4 |
| 2715 | 24469 | 26 |
| 2716 | 24473 | 4 |
Questions
What is the 2713th prime number?
24439.
Which prime number is 24439?
24439 is the 2713th prime number.
What is the sum of the first 2713 primes?
31,193,728.