What is the 868th prime number?
The 868th prime number is 6733. The next prime is 6737 (a gap of 4) and the one before is 6719.
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 868th one is 6733.
- 2
6733 is prime because no prime up to ā6733 ā 82.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 868th prime is close to 868 Ć ln(868) ā 5873, and here it is 6733.
- 4
6733 has no twin: neither 6731 nor 6735 is prime.
Primes around the 868th
| Position | Prime | Gap from the previous |
|---|---|---|
| 865 | 6703 | 2 |
| 866 | 6709 | 6 |
| 867 | 6719 | 10 |
| 868 | 6733 | 14 |
| 869 | 6737 | 4 |
| 870 | 6761 | 24 |
| 871 | 6763 | 2 |
Questions
What is the 868th prime number?
6733.
Which prime number is 6733?
6733 is the 868th prime number.
What is the sum of the first 868 primes?
2,715,431.