What is the 6867th prime number?
The 6867th prime number is 69149. The next prime is 69151 (a gap of 2) and the one before is 69143.
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 6867th one is 69149.
- 2
69149 is prime because no prime up to ā69149 ā 262.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6867th prime is close to 6867 Ć ln(6867) ā 60666, and here it is 69149.
- 4
69149 is a twin prime: 69149 and 69151 are both prime.
Primes around the 6867th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6864 | 69119 | 10 |
| 6865 | 69127 | 8 |
| 6866 | 69143 | 16 |
| 6867 | 69149 | 6 |
| 6868 | 69151 | 2 |
| 6869 | 69163 | 12 |
| 6870 | 69191 | 28 |
Questions
What is the 6867th prime number?
69149.
Which prime number is 69149?
69149 is the 6867th prime number.
What is the sum of the first 6867 primes?
224,160,286.