What is the 8809th prime number?
The 8809th prime number is 91099. The next prime is 91121 (a gap of 22) and the one before is 91097.
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 8809th one is 91099.
- 2
91099 is prime because no prime up to ā91099 ā 301.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8809th prime is close to 8809 Ć ln(8809) ā 80017, and here it is 91099.
- 4
91099 is a twin prime: 91097 and 91099 are both prime.
Primes around the 8809th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8806 | 91079 | 46 |
| 8807 | 91081 | 2 |
| 8808 | 91097 | 16 |
| 8809 | 91099 | 2 |
| 8810 | 91121 | 22 |
| 8811 | 91127 | 6 |
| 8812 | 91129 | 2 |
Questions
What is the 8809th prime number?
91099.
Which prime number is 91099?
91099 is the 8809th prime number.
What is the sum of the first 8809 primes?
379,616,514.