What is the 2718th prime number?
The 2718th prime number is 24499. The next prime is 24509 (a gap of 10) and the one before is 24481.
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 2718th one is 24499.
- 2
24499 is prime because no prime up to ā24499 ā 156.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2718th prime is close to 2718 Ć ln(2718) ā 21493, and here it is 24499.
- 4
24499 has no twin: neither 24497 nor 24501 is prime.
Primes around the 2718th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2715 | 24469 | 26 |
| 2716 | 24473 | 4 |
| 2717 | 24481 | 8 |
| 2718 | 24499 | 18 |
| 2719 | 24509 | 10 |
| 2720 | 24517 | 8 |
| 2721 | 24527 | 10 |
Questions
What is the 2718th prime number?
24499.
Which prime number is 24499?
24499 is the 2718th prime number.
What is the sum of the first 2718 primes?
31,316,093.