What is the 1892nd prime number?
The 1892nd prime number is 16301. The next prime is 16319 (a gap of 18) and the one before is 16273.
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 1892nd one is 16301.
- 2
16301 is prime because no prime up to ā16301 ā 127.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1892nd prime is close to 1892 Ć ln(1892) ā 14276, and here it is 16301.
- 4
16301 has no twin: neither 16299 nor 16303 is prime.
Primes around the 1892nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1889 | 16253 | 4 |
| 1890 | 16267 | 14 |
| 1891 | 16273 | 6 |
| 1892 | 16301 | 28 |
| 1893 | 16319 | 18 |
| 1894 | 16333 | 14 |
| 1895 | 16339 | 6 |
Questions
What is the 1892nd prime number?
16301.
Which prime number is 16301?
16301 is the 1892nd prime number.
What is the sum of the first 1892 primes?
14,453,827.