What is the 8520th prime number?
The 8520th prime number is 87721. The next prime is 87739 (a gap of 18) and the one before is 87719.
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 8520th one is 87721.
- 2
87721 is prime because no prime up to ā87721 ā 296.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8520th prime is close to 8520 Ć ln(8520) ā 77107, and here it is 87721.
- 4
87721 is a twin prime: 87719 and 87721 are both prime.
Primes around the 8520th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8517 | 87697 | 6 |
| 8518 | 87701 | 4 |
| 8519 | 87719 | 18 |
| 8520 | 87721 | 2 |
| 8521 | 87739 | 18 |
| 8522 | 87743 | 4 |
| 8523 | 87751 | 8 |
Questions
What is the 8520th prime number?
87721.
Which prime number is 87721?
87721 is the 8520th prime number.
What is the sum of the first 8520 primes?
353,765,107.