What is the 1882nd prime number?
The 1882nd prime number is 16189. The next prime is 16193 (a gap of 4) and the one before is 16187.
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 1882nd one is 16189.
- 2
16189 is prime because no prime up to ā16189 ā 127.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1882nd prime is close to 1882 Ć ln(1882) ā 14190, and here it is 16189.
- 4
16189 is a twin prime: 16187 and 16189 are both prime.
Primes around the 1882nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1879 | 16141 | 2 |
| 1880 | 16183 | 42 |
| 1881 | 16187 | 4 |
| 1882 | 16189 | 2 |
| 1883 | 16193 | 4 |
| 1884 | 16217 | 24 |
| 1885 | 16223 | 6 |
Questions
What is the 1882nd prime number?
16189.
Which prime number is 16189?
16189 is the 1882nd prime number.
What is the sum of the first 1882 primes?
14,291,391.