What is the 8669th prime number?
The 8669th prime number is 89521. The next prime is 89527 (a gap of 6) and the one before is 89519.
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 8669th one is 89521.
- 2
89521 is prime because no prime up to ā89521 ā 299.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8669th prime is close to 8669 Ć ln(8669) ā 78606, and here it is 89521.
- 4
89521 is a twin prime: 89519 and 89521 are both prime.
Primes around the 8669th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8666 | 89501 | 10 |
| 8667 | 89513 | 12 |
| 8668 | 89519 | 6 |
| 8669 | 89521 | 2 |
| 8670 | 89527 | 6 |
| 8671 | 89533 | 6 |
| 8672 | 89561 | 28 |
Questions
What is the 8669th prime number?
89521.
Which prime number is 89521?
89521 is the 8669th prime number.
What is the sum of the first 8669 primes?
366,977,902.