What is the 1916th prime number?
The 1916th prime number is 16553. The next prime is 16561 (a gap of 8) and the one before is 16547.
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 1916th one is 16553.
- 2
16553 is prime because no prime up to ā16553 ā 128.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1916th prime is close to 1916 Ć ln(1916) ā 14481, and here it is 16553.
- 4
16553 has no twin: neither 16551 nor 16555 is prime.
Primes around the 1916th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1913 | 16519 | 26 |
| 1914 | 16529 | 10 |
| 1915 | 16547 | 18 |
| 1916 | 16553 | 6 |
| 1917 | 16561 | 8 |
| 1918 | 16567 | 6 |
| 1919 | 16573 | 6 |
Questions
What is the 1916th prime number?
16553.
Which prime number is 16553?
16553 is the 1916th prime number.
What is the sum of the first 1916 primes?
14,848,187.