What is the 1887th prime number?
The 1887th prime number is 16231. The next prime is 16249 (a gap of 18) and the one before is 16229.
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 1887th one is 16231.
- 2
16231 is prime because no prime up to ā16231 ā 127.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1887th prime is close to 1887 Ć ln(1887) ā 14233, and here it is 16231.
- 4
16231 is a twin prime: 16229 and 16231 are both prime.
Primes around the 1887th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1884 | 16217 | 24 |
| 1885 | 16223 | 6 |
| 1886 | 16229 | 6 |
| 1887 | 16231 | 2 |
| 1888 | 16249 | 18 |
| 1889 | 16253 | 4 |
| 1890 | 16267 | 14 |
Questions
What is the 1887th prime number?
16231.
Which prime number is 16231?
16231 is the 1887th prime number.
What is the sum of the first 1887 primes?
14,372,484.