What is the 1922nd prime number?
The 1922nd prime number is 16619. The next prime is 16631 (a gap of 12) and the one before is 16607.
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 1922nd one is 16619.
- 2
16619 is prime because no prime up to ā16619 ā 128.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1922nd prime is close to 1922 Ć ln(1922) ā 14532, and here it is 16619.
- 4
16619 has no twin: neither 16617 nor 16621 is prime.
Primes around the 1922nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1919 | 16573 | 6 |
| 1920 | 16603 | 30 |
| 1921 | 16607 | 4 |
| 1922 | 16619 | 12 |
| 1923 | 16631 | 12 |
| 1924 | 16633 | 2 |
| 1925 | 16649 | 16 |
Questions
What is the 1922nd prime number?
16619.
Which prime number is 16619?
16619 is the 1922nd prime number.
What is the sum of the first 1922 primes?
14,947,717.