What is the 1919th prime number?
The 1919th prime number is 16573. The next prime is 16603 (a gap of 30) and the one before is 16567.
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 1919th one is 16573.
- 2
16573 is prime because no prime up to ā16573 ā 128.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1919th prime is close to 1919 Ć ln(1919) ā 14507, and here it is 16573.
- 4
16573 has no twin: neither 16571 nor 16575 is prime.
Primes around the 1919th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1916 | 16553 | 6 |
| 1917 | 16561 | 8 |
| 1918 | 16567 | 6 |
| 1919 | 16573 | 6 |
| 1920 | 16603 | 30 |
| 1921 | 16607 | 4 |
| 1922 | 16619 | 12 |
Questions
What is the 1919th prime number?
16573.
Which prime number is 16573?
16573 is the 1919th prime number.
What is the sum of the first 1919 primes?
14,897,888.