What is the 1894th prime number?
The 1894th prime number is 16333. The next prime is 16339 (a gap of 6) and the one before is 16319.
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 1894th one is 16333.
- 2
16333 is prime because no prime up to ā16333 ā 127.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1894th prime is close to 1894 Ć ln(1894) ā 14293, and here it is 16333.
- 4
16333 has no twin: neither 16331 nor 16335 is prime.
Primes around the 1894th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1891 | 16273 | 6 |
| 1892 | 16301 | 28 |
| 1893 | 16319 | 18 |
| 1894 | 16333 | 14 |
| 1895 | 16339 | 6 |
| 1896 | 16349 | 10 |
| 1897 | 16361 | 12 |
Questions
What is the 1894th prime number?
16333.
Which prime number is 16333?
16333 is the 1894th prime number.
What is the sum of the first 1894 primes?
14,486,479.