What is the 1899th prime number?
The 1899th prime number is 16369. The next prime is 16381 (a gap of 12) and the one before is 16363.
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 1899th one is 16369.
- 2
16369 is prime because no prime up to ā16369 ā 127.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1899th prime is close to 1899 Ć ln(1899) ā 14336, and here it is 16369.
- 4
16369 has no twin: neither 16367 nor 16371 is prime.
Primes around the 1899th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1896 | 16349 | 10 |
| 1897 | 16361 | 12 |
| 1898 | 16363 | 2 |
| 1899 | 16369 | 6 |
| 1900 | 16381 | 12 |
| 1901 | 16411 | 30 |
| 1902 | 16417 | 6 |
Questions
What is the 1899th prime number?
16369.
Which prime number is 16369?
16369 is the 1899th prime number.
What is the sum of the first 1899 primes?
14,568,260.