What is the 6777th prime number?
The 6777th prime number is 68053. The next prime is 68059 (a gap of 6) and the one before is 68041.
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 6777th one is 68053.
- 2
68053 is prime because no prime up to ā68053 ā 260.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6777th prime is close to 6777 Ć ln(6777) ā 59782, and here it is 68053.
- 4
68053 has no twin: neither 68051 nor 68055 is prime.
Primes around the 6777th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6774 | 67993 | 6 |
| 6775 | 68023 | 30 |
| 6776 | 68041 | 18 |
| 6777 | 68053 | 12 |
| 6778 | 68059 | 6 |
| 6779 | 68071 | 12 |
| 6780 | 68087 | 16 |
Questions
What is the 6777th prime number?
68053.
Which prime number is 68053?
68053 is the 6777th prime number.
What is the sum of the first 6777 primes?
217,984,736.