What is the 2409th prime number?
The 2409th prime number is 21487. The next prime is 21491 (a gap of 4) and the one before is 21481.
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 2409th one is 21487.
- 2
21487 is prime because no prime up to ā21487 ā 146.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2409th prime is close to 2409 Ć ln(2409) ā 18759, and here it is 21487.
- 4
21487 has no twin: neither 21485 nor 21489 is prime.
Primes around the 2409th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2406 | 21433 | 14 |
| 2407 | 21467 | 34 |
| 2408 | 21481 | 14 |
| 2409 | 21487 | 6 |
| 2410 | 21491 | 4 |
| 2411 | 21493 | 2 |
| 2412 | 21499 | 6 |
Questions
What is the 2409th prime number?
21487.
Which prime number is 21487?
21487 is the 2409th prime number.
What is the sum of the first 2409 primes?
24,218,898.