What is the 8717th prime number?
The 8717th prime number is 90017. The next prime is 90019 (a gap of 2) and the one before is 90011.
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 8717th one is 90017.
- 2
90017 is prime because no prime up to ā90017 ā 300.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8717th prime is close to 8717 Ć ln(8717) ā 79090, and here it is 90017.
- 4
90017 is a twin prime: 90017 and 90019 are both prime.
Primes around the 8717th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8714 | 90001 | 12 |
| 8715 | 90007 | 6 |
| 8716 | 90011 | 4 |
| 8717 | 90017 | 6 |
| 8718 | 90019 | 2 |
| 8719 | 90023 | 4 |
| 8720 | 90031 | 8 |
Questions
What is the 8717th prime number?
90017.
Which prime number is 90017?
90017 is the 8717th prime number.
What is the sum of the first 8717 primes?
371,287,350.