What is the 8668th prime number?
The 8668th prime number is 89519. The next prime is 89521 (a gap of 2) and the one before is 89513.
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 8668th one is 89519.
- 2
89519 is prime because no prime up to ā89519 ā 299.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8668th prime is close to 8668 Ć ln(8668) ā 78596, and here it is 89519.
- 4
89519 is a twin prime: 89519 and 89521 are both prime.
Primes around the 8668th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8665 | 89491 | 14 |
| 8666 | 89501 | 10 |
| 8667 | 89513 | 12 |
| 8668 | 89519 | 6 |
| 8669 | 89521 | 2 |
| 8670 | 89527 | 6 |
| 8671 | 89533 | 6 |
Questions
What is the 8668th prime number?
89519.
Which prime number is 89519?
89519 is the 8668th prime number.
What is the sum of the first 8668 primes?
366,888,381.