What is the 6776th prime number?
The 6776th prime number is 68041. The next prime is 68053 (a gap of 12) and the one before is 68023.
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 6776th one is 68041.
- 2
68041 is prime because no prime up to ā68041 ā 260.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6776th prime is close to 6776 Ć ln(6776) ā 59772, and here it is 68041.
- 4
68041 has no twin: neither 68039 nor 68043 is prime.
Primes around the 6776th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6773 | 67987 | 8 |
| 6774 | 67993 | 6 |
| 6775 | 68023 | 30 |
| 6776 | 68041 | 18 |
| 6777 | 68053 | 12 |
| 6778 | 68059 | 6 |
| 6779 | 68071 | 12 |
Questions
What is the 6776th prime number?
68041.
Which prime number is 68041?
68041 is the 6776th prime number.
What is the sum of the first 6776 primes?
217,916,683.