What is the 8810th prime number?
The 8810th prime number is 91121. The next prime is 91127 (a gap of 6) and the one before is 91099.
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, ⦠The 8810th one is 91121.
- 2
91121 is prime because no prime up to ā91121 ā 301.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8810th prime is close to 8810 Ć ln(8810) ā 80027, and here it is 91121.
- 4
91121 has no twin: neither 91119 nor 91123 is prime.
Primes around the 8810th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8807 | 91081 | 2 |
| 8808 | 91097 | 16 |
| 8809 | 91099 | 2 |
| 8810 | 91121 | 22 |
| 8811 | 91127 | 6 |
| 8812 | 91129 | 2 |
| 8813 | 91139 | 10 |
Questions
What is the 8810th prime number?
91121.
Which prime number is 91121?
91121 is the 8810th prime number.
What is the sum of the first 8810 primes?
379,707,635.