What is the 1889th prime number?
The 1889th prime number is 16253. The next prime is 16267 (a gap of 14) and the one before is 16249.
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 1889th one is 16253.
- 2
16253 is prime because no prime up to ā16253 ā 127.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1889th prime is close to 1889 Ć ln(1889) ā 14250, and here it is 16253.
- 4
16253 has no twin: neither 16251 nor 16255 is prime.
Primes around the 1889th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1886 | 16229 | 6 |
| 1887 | 16231 | 2 |
| 1888 | 16249 | 18 |
| 1889 | 16253 | 4 |
| 1890 | 16267 | 14 |
| 1891 | 16273 | 6 |
| 1892 | 16301 | 28 |
Questions
What is the 1889th prime number?
16253.
Which prime number is 16253?
16253 is the 1889th prime number.
What is the sum of the first 1889 primes?
14,404,986.