What is the 6775th prime number?
The 6775th prime number is 68023. The next prime is 68041 (a gap of 18) and the one before is 67993.
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 6775th one is 68023.
- 2
68023 is prime because no prime up to ā68023 ā 260.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6775th prime is close to 6775 Ć ln(6775) ā 59762, and here it is 68023.
- 4
68023 has no twin: neither 68021 nor 68025 is prime.
Primes around the 6775th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6772 | 67979 | 12 |
| 6773 | 67987 | 8 |
| 6774 | 67993 | 6 |
| 6775 | 68023 | 30 |
| 6776 | 68041 | 18 |
| 6777 | 68053 | 12 |
| 6778 | 68059 | 6 |
Questions
What is the 6775th prime number?
68023.
Which prime number is 68023?
68023 is the 6775th prime number.
What is the sum of the first 6775 primes?
217,848,642.