What is the 8659th prime number?
The 8659th prime number is 89417. The next prime is 89431 (a gap of 14) and the one before is 89413.
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 8659th one is 89417.
- 2
89417 is prime because no prime up to ā89417 ā 299.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8659th prime is close to 8659 Ć ln(8659) ā 78506, and here it is 89417.
- 4
89417 has no twin: neither 89415 nor 89419 is prime.
Primes around the 8659th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8656 | 89393 | 6 |
| 8657 | 89399 | 6 |
| 8658 | 89413 | 14 |
| 8659 | 89417 | 4 |
| 8660 | 89431 | 14 |
| 8661 | 89443 | 12 |
| 8662 | 89449 | 6 |
Questions
What is the 8659th prime number?
89417.
Which prime number is 89417?
89417 is the 8659th prime number.
What is the sum of the first 8659 primes?
366,083,098.