What is the 1895th prime number?
The 1895th prime number is 16339. The next prime is 16349 (a gap of 10) and the one before is 16333.
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 1895th one is 16339.
- 2
16339 is prime because no prime up to ā16339 ā 127.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1895th prime is close to 1895 Ć ln(1895) ā 14302, and here it is 16339.
- 4
16339 has no twin: neither 16337 nor 16341 is prime.
Primes around the 1895th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1892 | 16301 | 28 |
| 1893 | 16319 | 18 |
| 1894 | 16333 | 14 |
| 1895 | 16339 | 6 |
| 1896 | 16349 | 10 |
| 1897 | 16361 | 12 |
| 1898 | 16363 | 2 |
Questions
What is the 1895th prime number?
16339.
Which prime number is 16339?
16339 is the 1895th prime number.
What is the sum of the first 1895 primes?
14,502,818.