What is the 2287th prime number?
The 2287th prime number is 20231. The next prime is 20233 (a gap of 2) and the one before is 20219.
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 2287th one is 20231.
- 2
20231 is prime because no prime up to ā20231 ā 142.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2287th prime is close to 2287 Ć ln(2287) ā 17690, and here it is 20231.
- 4
20231 is a twin prime: 20231 and 20233 are both prime.
Primes around the 2287th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2284 | 20183 | 6 |
| 2285 | 20201 | 18 |
| 2286 | 20219 | 18 |
| 2287 | 20231 | 12 |
| 2288 | 20233 | 2 |
| 2289 | 20249 | 16 |
| 2290 | 20261 | 12 |
Questions
What is the 2287th prime number?
20231.
Which prime number is 20231?
20231 is the 2287th prime number.
What is the sum of the first 2287 primes?
21,674,070.