What is the 867th prime number?
The 867th prime number is 6719. The next prime is 6733 (a gap of 14) and the one before is 6709.
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 867th one is 6719.
- 2
6719 is prime because no prime up to ā6719 ā 81.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 867th prime is close to 867 Ć ln(867) ā 5865, and here it is 6719.
- 4
6719 has no twin: neither 6717 nor 6721 is prime.
Primes around the 867th
| Position | Prime | Gap from the previous |
|---|---|---|
| 864 | 6701 | 10 |
| 865 | 6703 | 2 |
| 866 | 6709 | 6 |
| 867 | 6719 | 10 |
| 868 | 6733 | 14 |
| 869 | 6737 | 4 |
| 870 | 6761 | 24 |
Questions
What is the 867th prime number?
6719.
Which prime number is 6719?
6719 is the 867th prime number.
What is the sum of the first 867 primes?
2,708,698.