What is the 1918th prime number?
The 1918th prime number is 16567. The next prime is 16573 (a gap of 6) and the one before is 16561.
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 1918th one is 16567.
- 2
16567 is prime because no prime up to ā16567 ā 128.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1918th prime is close to 1918 Ć ln(1918) ā 14498, and here it is 16567.
- 4
16567 has no twin: neither 16565 nor 16569 is prime.
Primes around the 1918th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1915 | 16547 | 18 |
| 1916 | 16553 | 6 |
| 1917 | 16561 | 8 |
| 1918 | 16567 | 6 |
| 1919 | 16573 | 6 |
| 1920 | 16603 | 30 |
| 1921 | 16607 | 4 |
Questions
What is the 1918th prime number?
16567.
Which prime number is 16567?
16567 is the 1918th prime number.
What is the sum of the first 1918 primes?
14,881,315.