What is the 8798th prime number?
The 8798th prime number is 90947. The next prime is 90971 (a gap of 24) and the one before is 90931.
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 8798th one is 90947.
- 2
90947 is prime because no prime up to ā90947 ā 301.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8798th prime is close to 8798 Ć ln(8798) ā 79906, and here it is 90947.
- 4
90947 has no twin: neither 90945 nor 90949 is prime.
Primes around the 8798th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8795 | 90911 | 4 |
| 8796 | 90917 | 6 |
| 8797 | 90931 | 14 |
| 8798 | 90947 | 16 |
| 8799 | 90971 | 24 |
| 8800 | 90977 | 6 |
| 8801 | 90989 | 12 |
Questions
What is the 8798th prime number?
90947.
Which prime number is 90947?
90947 is the 8798th prime number.
What is the sum of the first 8798 primes?
378,615,163.