What is the 1884th prime number?
The 1884th prime number is 16217. The next prime is 16223 (a gap of 6) and the one before is 16193.
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 1884th one is 16217.
- 2
16217 is prime because no prime up to ā16217 ā 127.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1884th prime is close to 1884 Ć ln(1884) ā 14208, and here it is 16217.
- 4
16217 has no twin: neither 16215 nor 16219 is prime.
Primes around the 1884th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1881 | 16187 | 4 |
| 1882 | 16189 | 2 |
| 1883 | 16193 | 4 |
| 1884 | 16217 | 24 |
| 1885 | 16223 | 6 |
| 1886 | 16229 | 6 |
| 1887 | 16231 | 2 |
Questions
What is the 1884th prime number?
16217.
Which prime number is 16217?
16217 is the 1884th prime number.
What is the sum of the first 1884 primes?
14,323,801.