What is the 1924th prime number?
The 1924th prime number is 16633. The next prime is 16649 (a gap of 16) and the one before is 16631.
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 1924th one is 16633.
- 2
16633 is prime because no prime up to ā16633 ā 128.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1924th prime is close to 1924 Ć ln(1924) ā 14550, and here it is 16633.
- 4
16633 is a twin prime: 16631 and 16633 are both prime.
Primes around the 1924th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1921 | 16607 | 4 |
| 1922 | 16619 | 12 |
| 1923 | 16631 | 12 |
| 1924 | 16633 | 2 |
| 1925 | 16649 | 16 |
| 1926 | 16651 | 2 |
| 1927 | 16657 | 6 |
Questions
What is the 1924th prime number?
16633.
Which prime number is 16633?
16633 is the 1924th prime number.
What is the sum of the first 1924 primes?
14,980,981.