What is the 2285th prime number?
The 2285th prime number is 20201. The next prime is 20219 (a gap of 18) and the one before is 20183.
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 2285th one is 20201.
- 2
20201 is prime because no prime up to ā20201 ā 142.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2285th prime is close to 2285 Ć ln(2285) ā 17672, and here it is 20201.
- 4
20201 has no twin: neither 20199 nor 20203 is prime.
Primes around the 2285th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2282 | 20173 | 12 |
| 2283 | 20177 | 4 |
| 2284 | 20183 | 6 |
| 2285 | 20201 | 18 |
| 2286 | 20219 | 18 |
| 2287 | 20231 | 12 |
| 2288 | 20233 | 2 |
Questions
What is the 2285th prime number?
20201.
Which prime number is 20201?
20201 is the 2285th prime number.
What is the sum of the first 2285 primes?
21,633,620.