What is the 1900th prime number?
The 1900th prime number is 16381. The next prime is 16411 (a gap of 30) and the one before is 16369.
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 1900th one is 16381.
- 2
16381 is prime because no prime up to ā16381 ā 127.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1900th prime is close to 1900 Ć ln(1900) ā 14344, and here it is 16381.
- 4
16381 has no twin: neither 16379 nor 16383 is prime.
Primes around the 1900th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1897 | 16361 | 12 |
| 1898 | 16363 | 2 |
| 1899 | 16369 | 6 |
| 1900 | 16381 | 12 |
| 1901 | 16411 | 30 |
| 1902 | 16417 | 6 |
| 1903 | 16421 | 4 |
Questions
What is the 1900th prime number?
16381.
Which prime number is 16381?
16381 is the 1900th prime number.
What is the sum of the first 1900 primes?
14,584,641.