What is the 1898th prime number?
The 1898th prime number is 16363. The next prime is 16369 (a gap of 6) and the one before is 16361.
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 1898th one is 16363.
- 2
16363 is prime because no prime up to ā16363 ā 127.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1898th prime is close to 1898 Ć ln(1898) ā 14327, and here it is 16363.
- 4
16363 is a twin prime: 16361 and 16363 are both prime.
Primes around the 1898th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1895 | 16339 | 6 |
| 1896 | 16349 | 10 |
| 1897 | 16361 | 12 |
| 1898 | 16363 | 2 |
| 1899 | 16369 | 6 |
| 1900 | 16381 | 12 |
| 1901 | 16411 | 30 |
Questions
What is the 1898th prime number?
16363.
Which prime number is 16363?
16363 is the 1898th prime number.
What is the sum of the first 1898 primes?
14,551,891.