What is the 8815th prime number?
The 8815th prime number is 91151. The next prime is 91153 (a gap of 2) and the one before is 91141.
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 8815th one is 91151.
- 2
91151 is prime because no prime up to ā91151 ā 301.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8815th prime is close to 8815 Ć ln(8815) ā 80077, and here it is 91151.
- 4
91151 is a twin prime: 91151 and 91153 are both prime.
Primes around the 8815th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8812 | 91129 | 2 |
| 8813 | 91139 | 10 |
| 8814 | 91141 | 2 |
| 8815 | 91151 | 10 |
| 8816 | 91153 | 2 |
| 8817 | 91159 | 6 |
| 8818 | 91163 | 4 |
Questions
What is the 8815th prime number?
91151.
Which prime number is 91151?
91151 is the 8815th prime number.
What is the sum of the first 8815 primes?
380,163,322.