What is the 1896th prime number?
The 1896th prime number is 16349. The next prime is 16361 (a gap of 12) and the one before is 16339.
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 1896th one is 16349.
- 2
16349 is prime because no prime up to ā16349 ā 127.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1896th prime is close to 1896 Ć ln(1896) ā 14310, and here it is 16349.
- 4
16349 has no twin: neither 16347 nor 16351 is prime.
Primes around the 1896th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1893 | 16319 | 18 |
| 1894 | 16333 | 14 |
| 1895 | 16339 | 6 |
| 1896 | 16349 | 10 |
| 1897 | 16361 | 12 |
| 1898 | 16363 | 2 |
| 1899 | 16369 | 6 |
Questions
What is the 1896th prime number?
16349.
Which prime number is 16349?
16349 is the 1896th prime number.
What is the sum of the first 1896 primes?
14,519,167.