What is the 1824th prime number?
The 1824th prime number is 15643. The next prime is 15647 (a gap of 4) and the one before is 15641.
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 1824th one is 15643.
- 2
15643 is prime because no prime up to ā15643 ā 125.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1824th prime is close to 1824 Ć ln(1824) ā 13696, and here it is 15643.
- 4
15643 is a twin prime: 15641 and 15643 are both prime.
Primes around the 1824th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1821 | 15619 | 12 |
| 1822 | 15629 | 10 |
| 1823 | 15641 | 12 |
| 1824 | 15643 | 2 |
| 1825 | 15647 | 4 |
| 1826 | 15649 | 2 |
| 1827 | 15661 | 12 |
Questions
What is the 1824th prime number?
15643.
Which prime number is 15643?
15643 is the 1824th prime number.
What is the sum of the first 1824 primes?
13,368,717.