What is the 2411th prime number?
The 2411th prime number is 21493. The next prime is 21499 (a gap of 6) and the one before is 21491.
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 2411th one is 21493.
- 2
21493 is prime because no prime up to ā21493 ā 146.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2411th prime is close to 2411 Ć ln(2411) ā 18776, and here it is 21493.
- 4
21493 is a twin prime: 21491 and 21493 are both prime.
Primes around the 2411th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2408 | 21481 | 14 |
| 2409 | 21487 | 6 |
| 2410 | 21491 | 4 |
| 2411 | 21493 | 2 |
| 2412 | 21499 | 6 |
| 2413 | 21503 | 4 |
| 2414 | 21517 | 14 |
Questions
What is the 2411th prime number?
21493.
Which prime number is 21493?
21493 is the 2411th prime number.
What is the sum of the first 2411 primes?
24,261,882.