What is the 1881st prime number?
The 1881st prime number is 16187. The next prime is 16189 (a gap of 2) and the one before is 16183.
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 1881st one is 16187.
- 2
16187 is prime because no prime up to ā16187 ā 127.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1881st prime is close to 1881 Ć ln(1881) ā 14182, and here it is 16187.
- 4
16187 is a twin prime: 16187 and 16189 are both prime.
Primes around the 1881st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1878 | 16139 | 12 |
| 1879 | 16141 | 2 |
| 1880 | 16183 | 42 |
| 1881 | 16187 | 4 |
| 1882 | 16189 | 2 |
| 1883 | 16193 | 4 |
| 1884 | 16217 | 24 |
Questions
What is the 1881st prime number?
16187.
Which prime number is 16187?
16187 is the 1881st prime number.
What is the sum of the first 1881 primes?
14,275,202.