What is the 1624th prime number?
The 1624th prime number is 13723. The next prime is 13729 (a gap of 6) and the one before is 13721.
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 1624th one is 13723.
- 2
13723 is prime because no prime up to ā13723 ā 117.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1624th prime is close to 1624 Ć ln(1624) ā 12006, and here it is 13723.
- 4
13723 is a twin prime: 13721 and 13723 are both prime.
Primes around the 1624th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1621 | 13709 | 12 |
| 1622 | 13711 | 2 |
| 1623 | 13721 | 10 |
| 1624 | 13723 | 2 |
| 1625 | 13729 | 6 |
| 1626 | 13751 | 22 |
| 1627 | 13757 | 6 |
Questions
What is the 1624th prime number?
13723.
Which prime number is 13723?
13723 is the 1624th prime number.
What is the sum of the first 1624 primes?
10,426,449.