What is the 2450th prime number?
The 2450th prime number is 21841. The next prime is 21851 (a gap of 10) and the one before is 21839.
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 2450th one is 21841.
- 2
21841 is prime because no prime up to ā21841 ā 147.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2450th prime is close to 2450 Ć ln(2450) ā 19119, and here it is 21841.
- 4
21841 is a twin prime: 21839 and 21841 are both prime.
Primes around the 2450th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2447 | 21817 | 14 |
| 2448 | 21821 | 4 |
| 2449 | 21839 | 18 |
| 2450 | 21841 | 2 |
| 2451 | 21851 | 10 |
| 2452 | 21859 | 8 |
| 2453 | 21863 | 4 |
Questions
What is the 2450th prime number?
21841.
Which prime number is 21841?
21841 is the 2450th prime number.
What is the sum of the first 2450 primes?
25,106,701.