What is the 8667th prime number?
The 8667th prime number is 89513. The next prime is 89519 (a gap of 6) and the one before is 89501.
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 8667th one is 89513.
- 2
89513 is prime because no prime up to ā89513 ā 299.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8667th prime is close to 8667 Ć ln(8667) ā 78586, and here it is 89513.
- 4
89513 has no twin: neither 89511 nor 89515 is prime.
Primes around the 8667th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8664 | 89477 | 18 |
| 8665 | 89491 | 14 |
| 8666 | 89501 | 10 |
| 8667 | 89513 | 12 |
| 8668 | 89519 | 6 |
| 8669 | 89521 | 2 |
| 8670 | 89527 | 6 |
Questions
What is the 8667th prime number?
89513.
Which prime number is 89513?
89513 is the 8667th prime number.
What is the sum of the first 8667 primes?
366,798,862.