What is the 2389th prime number?
The 2389th prime number is 21269. The next prime is 21277 (a gap of 8) and the one before is 21247.
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 2389th one is 21269.
- 2
21269 is prime because no prime up to ā21269 ā 145.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2389th prime is close to 2389 Ć ln(2389) ā 18583, and here it is 21269.
- 4
21269 has no twin: neither 21267 nor 21271 is prime.
Primes around the 2389th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2386 | 21221 | 10 |
| 2387 | 21227 | 6 |
| 2388 | 21247 | 20 |
| 2389 | 21269 | 22 |
| 2390 | 21277 | 8 |
| 2391 | 21283 | 6 |
| 2392 | 21313 | 30 |
Questions
What is the 2389th prime number?
21269.
Which prime number is 21269?
21269 is the 2389th prime number.
What is the sum of the first 2389 primes?
23,791,356.