What is the 2421st prime number?
The 2421st prime number is 21569. The next prime is 21577 (a gap of 8) and the one before is 21563.
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 2421st one is 21569.
- 2
21569 is prime because no prime up to ā21569 ā 146.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2421st prime is close to 2421 Ć ln(2421) ā 18864, and here it is 21569.
- 4
21569 has no twin: neither 21567 nor 21571 is prime.
Primes around the 2421st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2418 | 21557 | 28 |
| 2419 | 21559 | 2 |
| 2420 | 21563 | 4 |
| 2421 | 21569 | 6 |
| 2422 | 21577 | 8 |
| 2423 | 21587 | 10 |
| 2424 | 21589 | 2 |
Questions
What is the 2421st prime number?
21569.
Which prime number is 21569?
21569 is the 2421st prime number.
What is the sum of the first 2421 primes?
24,477,222.