What is the 8797th prime number?
The 8797th prime number is 90931. The next prime is 90947 (a gap of 16) and the one before is 90917.
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 8797th one is 90931.
- 2
90931 is prime because no prime up to ā90931 ā 301.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8797th prime is close to 8797 Ć ln(8797) ā 79896, and here it is 90931.
- 4
90931 has no twin: neither 90929 nor 90933 is prime.
Primes around the 8797th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8794 | 90907 | 6 |
| 8795 | 90911 | 4 |
| 8796 | 90917 | 6 |
| 8797 | 90931 | 14 |
| 8798 | 90947 | 16 |
| 8799 | 90971 | 24 |
| 8800 | 90977 | 6 |
Questions
What is the 8797th prime number?
90931.
Which prime number is 90931?
90931 is the 8797th prime number.
What is the sum of the first 8797 primes?
378,524,216.