What is the 1890th prime number?
The 1890th prime number is 16267. The next prime is 16273 (a gap of 6) and the one before is 16253.
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 1890th one is 16267.
- 2
16267 is prime because no prime up to ā16267 ā 127.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1890th prime is close to 1890 Ć ln(1890) ā 14259, and here it is 16267.
- 4
16267 has no twin: neither 16265 nor 16269 is prime.
Primes around the 1890th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1887 | 16231 | 2 |
| 1888 | 16249 | 18 |
| 1889 | 16253 | 4 |
| 1890 | 16267 | 14 |
| 1891 | 16273 | 6 |
| 1892 | 16301 | 28 |
| 1893 | 16319 | 18 |
Questions
What is the 1890th prime number?
16267.
Which prime number is 16267?
16267 is the 1890th prime number.
What is the sum of the first 1890 primes?
14,421,253.