What is the 1868th prime number?
The 1868th prime number is 16063. The next prime is 16067 (a gap of 4) and the one before is 16061.
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 1868th one is 16063.
- 2
16063 is prime because no prime up to ā16063 ā 126.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1868th prime is close to 1868 Ć ln(1868) ā 14071, and here it is 16063.
- 4
16063 is a twin prime: 16061 and 16063 are both prime.
Primes around the 1868th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1865 | 16033 | 26 |
| 1866 | 16057 | 24 |
| 1867 | 16061 | 4 |
| 1868 | 16063 | 2 |
| 1869 | 16067 | 4 |
| 1870 | 16069 | 2 |
| 1871 | 16073 | 4 |
Questions
What is the 1868th prime number?
16063.
Which prime number is 16063?
16063 is the 1868th prime number.
What is the sum of the first 1868 primes?
14,065,727.