What is the 1897th prime number?
The 1897th prime number is 16361. The next prime is 16363 (a gap of 2) and the one before is 16349.
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 1897th one is 16361.
- 2
16361 is prime because no prime up to ā16361 ā 127.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1897th prime is close to 1897 Ć ln(1897) ā 14319, and here it is 16361.
- 4
16361 is a twin prime: 16361 and 16363 are both prime.
Primes around the 1897th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1894 | 16333 | 14 |
| 1895 | 16339 | 6 |
| 1896 | 16349 | 10 |
| 1897 | 16361 | 12 |
| 1898 | 16363 | 2 |
| 1899 | 16369 | 6 |
| 1900 | 16381 | 12 |
Questions
What is the 1897th prime number?
16361.
Which prime number is 16361?
16361 is the 1897th prime number.
What is the sum of the first 1897 primes?
14,535,528.