What is the 2410th prime number?
The 2410th prime number is 21491. The next prime is 21493 (a gap of 2) and the one before is 21487.
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 2410th one is 21491.
- 2
21491 is prime because no prime up to ā21491 ā 146.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2410th prime is close to 2410 Ć ln(2410) ā 18768, and here it is 21491.
- 4
21491 is a twin prime: 21491 and 21493 are both prime.
Primes around the 2410th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2407 | 21467 | 34 |
| 2408 | 21481 | 14 |
| 2409 | 21487 | 6 |
| 2410 | 21491 | 4 |
| 2411 | 21493 | 2 |
| 2412 | 21499 | 6 |
| 2413 | 21503 | 4 |
Questions
What is the 2410th prime number?
21491.
Which prime number is 21491?
21491 is the 2410th prime number.
What is the sum of the first 2410 primes?
24,240,389.