What is the 2288th prime number?
The 2288th prime number is 20233. The next prime is 20249 (a gap of 16) and the one before is 20231.
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 2288th one is 20233.
- 2
20233 is prime because no prime up to ā20233 ā 142.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2288th prime is close to 2288 Ć ln(2288) ā 17699, and here it is 20233.
- 4
20233 is a twin prime: 20231 and 20233 are both prime.
Primes around the 2288th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2285 | 20201 | 18 |
| 2286 | 20219 | 18 |
| 2287 | 20231 | 12 |
| 2288 | 20233 | 2 |
| 2289 | 20249 | 16 |
| 2290 | 20261 | 12 |
| 2291 | 20269 | 8 |
Questions
What is the 2288th prime number?
20233.
Which prime number is 20233?
20233 is the 2288th prime number.
What is the sum of the first 2288 primes?
21,694,303.