What is the 8868th prime number?
The 8868th prime number is 91781. The next prime is 91801 (a gap of 20) and the one before is 91771.
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 8868th one is 91781.
- 2
91781 is prime because no prime up to ā91781 ā 302.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8868th prime is close to 8868 Ć ln(8868) ā 80612, and here it is 91781.
- 4
91781 has no twin: neither 91779 nor 91783 is prime.
Primes around the 8868th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8865 | 91753 | 20 |
| 8866 | 91757 | 4 |
| 8867 | 91771 | 14 |
| 8868 | 91781 | 10 |
| 8869 | 91801 | 20 |
| 8870 | 91807 | 6 |
| 8871 | 91811 | 4 |
Questions
What is the 8868th prime number?
91781.
Which prime number is 91781?
91781 is the 8868th prime number.
What is the sum of the first 8868 primes?
385,010,097.