What is the 1869th prime number?
The 1869th prime number is 16067. The next prime is 16069 (a gap of 2) and the one before is 16063.
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 1869th one is 16067.
- 2
16067 is prime because no prime up to ā16067 ā 126.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1869th prime is close to 1869 Ć ln(1869) ā 14079, and here it is 16067.
- 4
16067 is a twin prime: 16067 and 16069 are both prime.
Primes around the 1869th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1866 | 16057 | 24 |
| 1867 | 16061 | 4 |
| 1868 | 16063 | 2 |
| 1869 | 16067 | 4 |
| 1870 | 16069 | 2 |
| 1871 | 16073 | 4 |
| 1872 | 16087 | 14 |
Questions
What is the 1869th prime number?
16067.
Which prime number is 16067?
16067 is the 1869th prime number.
What is the sum of the first 1869 primes?
14,081,794.