What is the 2449th prime number?
The 2449th prime number is 21839. The next prime is 21841 (a gap of 2) and the one before is 21821.
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 2449th one is 21839.
- 2
21839 is prime because no prime up to ā21839 ā 147.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2449th prime is close to 2449 Ć ln(2449) ā 19111, and here it is 21839.
- 4
21839 is a twin prime: 21839 and 21841 are both prime.
Primes around the 2449th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2446 | 21803 | 4 |
| 2447 | 21817 | 14 |
| 2448 | 21821 | 4 |
| 2449 | 21839 | 18 |
| 2450 | 21841 | 2 |
| 2451 | 21851 | 10 |
| 2452 | 21859 | 8 |
Questions
What is the 2449th prime number?
21839.
Which prime number is 21839?
21839 is the 2449th prime number.
What is the sum of the first 2449 primes?
25,084,860.