What is the 1893rd prime number?
The 1893rd prime number is 16319. The next prime is 16333 (a gap of 14) and the one before is 16301.
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 1893rd one is 16319.
- 2
16319 is prime because no prime up to ā16319 ā 127.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1893rd prime is close to 1893 Ć ln(1893) ā 14284, and here it is 16319.
- 4
16319 has no twin: neither 16317 nor 16321 is prime.
Primes around the 1893rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1890 | 16267 | 14 |
| 1891 | 16273 | 6 |
| 1892 | 16301 | 28 |
| 1893 | 16319 | 18 |
| 1894 | 16333 | 14 |
| 1895 | 16339 | 6 |
| 1896 | 16349 | 10 |
Questions
What is the 1893rd prime number?
16319.
Which prime number is 16319?
16319 is the 1893rd prime number.
What is the sum of the first 1893 primes?
14,470,146.