What is the 8817th prime number?
The 8817th prime number is 91159. The next prime is 91163 (a gap of 4) and the one before is 91153.
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 8817th one is 91159.
- 2
91159 is prime because no prime up to ā91159 ā 301.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8817th prime is close to 8817 Ć ln(8817) ā 80097, and here it is 91159.
- 4
91159 has no twin: neither 91157 nor 91161 is prime.
Primes around the 8817th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8814 | 91141 | 2 |
| 8815 | 91151 | 10 |
| 8816 | 91153 | 2 |
| 8817 | 91159 | 6 |
| 8818 | 91163 | 4 |
| 8819 | 91183 | 20 |
| 8820 | 91193 | 10 |
Questions
What is the 8817th prime number?
91159.
Which prime number is 91159?
91159 is the 8817th prime number.
What is the sum of the first 8817 primes?
380,345,634.