What is the 2420th prime number?
The 2420th prime number is 21563. The next prime is 21569 (a gap of 6) and the one before is 21559.
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 2420th one is 21563.
- 2
21563 is prime because no prime up to ā21563 ā 146.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2420th prime is close to 2420 Ć ln(2420) ā 18855, and here it is 21563.
- 4
21563 has no twin: neither 21561 nor 21565 is prime.
Primes around the 2420th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2417 | 21529 | 6 |
| 2418 | 21557 | 28 |
| 2419 | 21559 | 2 |
| 2420 | 21563 | 4 |
| 2421 | 21569 | 6 |
| 2422 | 21577 | 8 |
| 2423 | 21587 | 10 |
Questions
What is the 2420th prime number?
21563.
Which prime number is 21563?
21563 is the 2420th prime number.
What is the sum of the first 2420 primes?
24,455,653.