What is the 1891st prime number?
The 1891st prime number is 16273. The next prime is 16301 (a gap of 28) and the one before is 16267.
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 1891st one is 16273.
- 2
16273 is prime because no prime up to ā16273 ā 127.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1891st prime is close to 1891 Ć ln(1891) ā 14267, and here it is 16273.
- 4
16273 has no twin: neither 16271 nor 16275 is prime.
Primes around the 1891st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1888 | 16249 | 18 |
| 1889 | 16253 | 4 |
| 1890 | 16267 | 14 |
| 1891 | 16273 | 6 |
| 1892 | 16301 | 28 |
| 1893 | 16319 | 18 |
| 1894 | 16333 | 14 |
Questions
What is the 1891st prime number?
16273.
Which prime number is 16273?
16273 is the 1891st prime number.
What is the sum of the first 1891 primes?
14,437,526.