What is the 2448th prime number?
The 2448th prime number is 21821. The next prime is 21839 (a gap of 18) and the one before is 21817.
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 2448th one is 21821.
- 2
21821 is prime because no prime up to ā21821 ā 147.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2448th prime is close to 2448 Ć ln(2448) ā 19102, and here it is 21821.
- 4
21821 has no twin: neither 21819 nor 21823 is prime.
Primes around the 2448th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2445 | 21799 | 12 |
| 2446 | 21803 | 4 |
| 2447 | 21817 | 14 |
| 2448 | 21821 | 4 |
| 2449 | 21839 | 18 |
| 2450 | 21841 | 2 |
| 2451 | 21851 | 10 |
Questions
What is the 2448th prime number?
21821.
Which prime number is 21821?
21821 is the 2448th prime number.
What is the sum of the first 2448 primes?
25,063,021.