What is the 8808th prime number?
The 8808th prime number is 91097. The next prime is 91099 (a gap of 2) and the one before is 91081.
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 8808th one is 91097.
- 2
91097 is prime because no prime up to ā91097 ā 301.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8808th prime is close to 8808 Ć ln(8808) ā 80007, and here it is 91097.
- 4
91097 is a twin prime: 91097 and 91099 are both prime.
Primes around the 8808th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8805 | 91033 | 14 |
| 8806 | 91079 | 46 |
| 8807 | 91081 | 2 |
| 8808 | 91097 | 16 |
| 8809 | 91099 | 2 |
| 8810 | 91121 | 22 |
| 8811 | 91127 | 6 |
Questions
What is the 8808th prime number?
91097.
Which prime number is 91097?
91097 is the 8808th prime number.
What is the sum of the first 8808 primes?
379,525,415.