What is the 2289th prime number?
The 2289th prime number is 20249. The next prime is 20261 (a gap of 12) and the one before is 20233.
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 2289th one is 20249.
- 2
20249 is prime because no prime up to ā20249 ā 142.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2289th prime is close to 2289 Ć ln(2289) ā 17707, and here it is 20249.
- 4
20249 has no twin: neither 20247 nor 20251 is prime.
Primes around the 2289th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2286 | 20219 | 18 |
| 2287 | 20231 | 12 |
| 2288 | 20233 | 2 |
| 2289 | 20249 | 16 |
| 2290 | 20261 | 12 |
| 2291 | 20269 | 8 |
| 2292 | 20287 | 18 |
Questions
What is the 2289th prime number?
20249.
Which prime number is 20249?
20249 is the 2289th prime number.
What is the sum of the first 2289 primes?
21,714,552.