What is the 6745th prime number?
The 6745th prime number is 67733. The next prime is 67741 (a gap of 8) and the one before is 67723.
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 6745th one is 67733.
- 2
67733 is prime because no prime up to ā67733 ā 260.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6745th prime is close to 6745 Ć ln(6745) ā 59468, and here it is 67733.
- 4
67733 has no twin: neither 67731 nor 67735 is prime.
Primes around the 6745th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6742 | 67699 | 20 |
| 6743 | 67709 | 10 |
| 6744 | 67723 | 14 |
| 6745 | 67733 | 10 |
| 6746 | 67741 | 8 |
| 6747 | 67751 | 10 |
| 6748 | 67757 | 6 |
Questions
What is the 6745th prime number?
67733.
Which prime number is 67733?
67733 is the 6745th prime number.
What is the sum of the first 6745 primes?
215,812,488.