What is the 8867th prime number?
The 8867th prime number is 91771. The next prime is 91781 (a gap of 10) and the one before is 91757.
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 8867th one is 91771.
- 2
91771 is prime because no prime up to ā91771 ā 302.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8867th prime is close to 8867 Ć ln(8867) ā 80602, and here it is 91771.
- 4
91771 has no twin: neither 91769 nor 91773 is prime.
Primes around the 8867th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8864 | 91733 | 22 |
| 8865 | 91753 | 20 |
| 8866 | 91757 | 4 |
| 8867 | 91771 | 14 |
| 8868 | 91781 | 10 |
| 8869 | 91801 | 20 |
| 8870 | 91807 | 6 |
Questions
What is the 8867th prime number?
91771.
Which prime number is 91771?
91771 is the 8867th prime number.
What is the sum of the first 8867 primes?
384,918,316.