What is the 8812th prime number?
The 8812th prime number is 91129. The next prime is 91139 (a gap of 10) and the one before is 91127.
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 8812th one is 91129.
- 2
91129 is prime because no prime up to ā91129 ā 301.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8812th prime is close to 8812 Ć ln(8812) ā 80047, and here it is 91129.
- 4
91129 is a twin prime: 91127 and 91129 are both prime.
Primes around the 8812th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8809 | 91099 | 2 |
| 8810 | 91121 | 22 |
| 8811 | 91127 | 6 |
| 8812 | 91129 | 2 |
| 8813 | 91139 | 10 |
| 8814 | 91141 | 2 |
| 8815 | 91151 | 10 |
Questions
What is the 8812th prime number?
91129.
Which prime number is 91129?
91129 is the 8812th prime number.
What is the sum of the first 8812 primes?
379,889,891.