What is the 1883rd prime number?
The 1883rd prime number is 16193. The next prime is 16217 (a gap of 24) and the one before is 16189.
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 1883rd one is 16193.
- 2
16193 is prime because no prime up to ā16193 ā 127.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1883rd prime is close to 1883 Ć ln(1883) ā 14199, and here it is 16193.
- 4
16193 has no twin: neither 16191 nor 16195 is prime.
Primes around the 1883rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1880 | 16183 | 42 |
| 1881 | 16187 | 4 |
| 1882 | 16189 | 2 |
| 1883 | 16193 | 4 |
| 1884 | 16217 | 24 |
| 1885 | 16223 | 6 |
| 1886 | 16229 | 6 |
Questions
What is the 1883rd prime number?
16193.
Which prime number is 16193?
16193 is the 1883rd prime number.
What is the sum of the first 1883 primes?
14,307,584.