What is the 1867th prime number?
The 1867th prime number is 16061. The next prime is 16063 (a gap of 2) and the one before is 16057.
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 1867th one is 16061.
- 2
16061 is prime because no prime up to ā16061 ā 126.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1867th prime is close to 1867 Ć ln(1867) ā 14062, and here it is 16061.
- 4
16061 is a twin prime: 16061 and 16063 are both prime.
Primes around the 1867th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1864 | 16007 | 6 |
| 1865 | 16033 | 26 |
| 1866 | 16057 | 24 |
| 1867 | 16061 | 4 |
| 1868 | 16063 | 2 |
| 1869 | 16067 | 4 |
| 1870 | 16069 | 2 |
Questions
What is the 1867th prime number?
16061.
Which prime number is 16061?
16061 is the 1867th prime number.
What is the sum of the first 1867 primes?
14,049,664.