What is the 8813th prime number?
The 8813th prime number is 91139. The next prime is 91141 (a gap of 2) and the one before is 91129.
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 8813th one is 91139.
- 2
91139 is prime because no prime up to ā91139 ā 301.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8813th prime is close to 8813 Ć ln(8813) ā 80057, and here it is 91139.
- 4
91139 is a twin prime: 91139 and 91141 are both prime.
Primes around the 8813th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8810 | 91121 | 22 |
| 8811 | 91127 | 6 |
| 8812 | 91129 | 2 |
| 8813 | 91139 | 10 |
| 8814 | 91141 | 2 |
| 8815 | 91151 | 10 |
| 8816 | 91153 | 2 |
Questions
What is the 8813th prime number?
91139.
Which prime number is 91139?
91139 is the 8813th prime number.
What is the sum of the first 8813 primes?
379,981,030.