What is the 2284th prime number?
The 2284th prime number is 20183. The next prime is 20201 (a gap of 18) and the one before is 20177.
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 2284th one is 20183.
- 2
20183 is prime because no prime up to ā20183 ā 142.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2284th prime is close to 2284 Ć ln(2284) ā 17664, and here it is 20183.
- 4
20183 has no twin: neither 20181 nor 20185 is prime.
Primes around the 2284th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2281 | 20161 | 12 |
| 2282 | 20173 | 12 |
| 2283 | 20177 | 4 |
| 2284 | 20183 | 6 |
| 2285 | 20201 | 18 |
| 2286 | 20219 | 18 |
| 2287 | 20231 | 12 |
Questions
What is the 2284th prime number?
20183.
Which prime number is 20183?
20183 is the 2284th prime number.
What is the sum of the first 2284 primes?
21,613,419.