What is the 1885th prime number?
The 1885th prime number is 16223. The next prime is 16229 (a gap of 6) and the one before is 16217.
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 1885th one is 16223.
- 2
16223 is prime because no prime up to ā16223 ā 127.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1885th prime is close to 1885 Ć ln(1885) ā 14216, and here it is 16223.
- 4
16223 has no twin: neither 16221 nor 16225 is prime.
Primes around the 1885th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1882 | 16189 | 2 |
| 1883 | 16193 | 4 |
| 1884 | 16217 | 24 |
| 1885 | 16223 | 6 |
| 1886 | 16229 | 6 |
| 1887 | 16231 | 2 |
| 1888 | 16249 | 18 |
Questions
What is the 1885th prime number?
16223.
Which prime number is 16223?
16223 is the 1885th prime number.
What is the sum of the first 1885 primes?
14,340,024.