What is the 1920th prime number?
The 1920th prime number is 16603. The next prime is 16607 (a gap of 4) and the one before is 16573.
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 1920th one is 16603.
- 2
16603 is prime because no prime up to ā16603 ā 128.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1920th prime is close to 1920 Ć ln(1920) ā 14515, and here it is 16603.
- 4
16603 has no twin: neither 16601 nor 16605 is prime.
Primes around the 1920th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1917 | 16561 | 8 |
| 1918 | 16567 | 6 |
| 1919 | 16573 | 6 |
| 1920 | 16603 | 30 |
| 1921 | 16607 | 4 |
| 1922 | 16619 | 12 |
| 1923 | 16631 | 12 |
Questions
What is the 1920th prime number?
16603.
Which prime number is 16603?
16603 is the 1920th prime number.
What is the sum of the first 1920 primes?
14,914,491.