What is the 8864th prime number?
The 8864th prime number is 91733. The next prime is 91753 (a gap of 20) and the one before is 91711.
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 8864th one is 91733.
- 2
91733 is prime because no prime up to ā91733 ā 302.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8864th prime is close to 8864 Ć ln(8864) ā 80572, and here it is 91733.
- 4
91733 has no twin: neither 91731 nor 91735 is prime.
Primes around the 8864th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8861 | 91691 | 18 |
| 8862 | 91703 | 12 |
| 8863 | 91711 | 8 |
| 8864 | 91733 | 22 |
| 8865 | 91753 | 20 |
| 8866 | 91757 | 4 |
| 8867 | 91771 | 14 |
Questions
What is the 8864th prime number?
91733.
Which prime number is 91733?
91733 is the 8864th prime number.
What is the sum of the first 8864 primes?
384,643,035.