What is the 2719th prime number?
The 2719th prime number is 24509. The next prime is 24517 (a gap of 8) and the one before is 24499.
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 2719th one is 24509.
- 2
24509 is prime because no prime up to ā24509 ā 156.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2719th prime is close to 2719 Ć ln(2719) ā 21502, and here it is 24509.
- 4
24509 has no twin: neither 24507 nor 24511 is prime.
Primes around the 2719th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2716 | 24473 | 4 |
| 2717 | 24481 | 8 |
| 2718 | 24499 | 18 |
| 2719 | 24509 | 10 |
| 2720 | 24517 | 8 |
| 2721 | 24527 | 10 |
| 2722 | 24533 | 6 |
Questions
What is the 2719th prime number?
24509.
Which prime number is 24509?
24509 is the 2719th prime number.
What is the sum of the first 2719 primes?
31,340,602.