What is the 1888th prime number?
The 1888th prime number is 16249. The next prime is 16253 (a gap of 4) and the one before is 16231.
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 1888th one is 16249.
- 2
16249 is prime because no prime up to ā16249 ā 127.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1888th prime is close to 1888 Ć ln(1888) ā 14242, and here it is 16249.
- 4
16249 has no twin: neither 16247 nor 16251 is prime.
Primes around the 1888th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1885 | 16223 | 6 |
| 1886 | 16229 | 6 |
| 1887 | 16231 | 2 |
| 1888 | 16249 | 18 |
| 1889 | 16253 | 4 |
| 1890 | 16267 | 14 |
| 1891 | 16273 | 6 |
Questions
What is the 1888th prime number?
16249.
Which prime number is 16249?
16249 is the 1888th prime number.
What is the sum of the first 1888 primes?
14,388,733.