What is the 6779th prime number?
The 6779th prime number is 68071. The next prime is 68087 (a gap of 16) and the one before is 68059.
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 6779th one is 68071.
- 2
68071 is prime because no prime up to ā68071 ā 260.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6779th prime is close to 6779 Ć ln(6779) ā 59802, and here it is 68071.
- 4
68071 has no twin: neither 68069 nor 68073 is prime.
Primes around the 6779th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6776 | 68041 | 18 |
| 6777 | 68053 | 12 |
| 6778 | 68059 | 6 |
| 6779 | 68071 | 12 |
| 6780 | 68087 | 16 |
| 6781 | 68099 | 12 |
| 6782 | 68111 | 12 |
Questions
What is the 6779th prime number?
68071.
Which prime number is 68071?
68071 is the 6779th prime number.
What is the sum of the first 6779 primes?
218,120,866.