What is the 2520th prime number?
The 2520th prime number is 22543. The next prime is 22549 (a gap of 6) and the one before is 22541.
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 2520th one is 22543.
- 2
22543 is prime because no prime up to ā22543 ā 150.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2520th prime is close to 2520 Ć ln(2520) ā 19737, and here it is 22543.
- 4
22543 is a twin prime: 22541 and 22543 are both prime.
Primes around the 2520th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2517 | 22511 | 10 |
| 2518 | 22531 | 20 |
| 2519 | 22541 | 10 |
| 2520 | 22543 | 2 |
| 2521 | 22549 | 6 |
| 2522 | 22567 | 18 |
| 2523 | 22571 | 4 |
Questions
What is the 2520th prime number?
22543.
Which prime number is 22543?
22543 is the 2520th prime number.
What is the sum of the first 2520 primes?
26,659,865.