What is the 1886th prime number?
The 1886th prime number is 16229. The next prime is 16231 (a gap of 2) and the one before is 16223.
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 1886th one is 16229.
- 2
16229 is prime because no prime up to ā16229 ā 127.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1886th prime is close to 1886 Ć ln(1886) ā 14225, and here it is 16229.
- 4
16229 is a twin prime: 16229 and 16231 are both prime.
Primes around the 1886th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1883 | 16193 | 4 |
| 1884 | 16217 | 24 |
| 1885 | 16223 | 6 |
| 1886 | 16229 | 6 |
| 1887 | 16231 | 2 |
| 1888 | 16249 | 18 |
| 1889 | 16253 | 4 |
Questions
What is the 1886th prime number?
16229.
Which prime number is 16229?
16229 is the 1886th prime number.
What is the sum of the first 1886 primes?
14,356,253.