What is the 2390th prime number?
The 2390th prime number is 21277. The next prime is 21283 (a gap of 6) and the one before is 21269.
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 2390th one is 21277.
- 2
21277 is prime because no prime up to ā21277 ā 145.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2390th prime is close to 2390 Ć ln(2390) ā 18592, and here it is 21277.
- 4
21277 has no twin: neither 21275 nor 21279 is prime.
Primes around the 2390th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2387 | 21227 | 6 |
| 2388 | 21247 | 20 |
| 2389 | 21269 | 22 |
| 2390 | 21277 | 8 |
| 2391 | 21283 | 6 |
| 2392 | 21313 | 30 |
| 2393 | 21317 | 4 |
Questions
What is the 2390th prime number?
21277.
Which prime number is 21277?
21277 is the 2390th prime number.
What is the sum of the first 2390 primes?
23,812,633.