What is the 6746th prime number?
The 6746th prime number is 67741. The next prime is 67751 (a gap of 10) and the one before is 67733.
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 6746th one is 67741.
- 2
67741 is prime because no prime up to ā67741 ā 260.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6746th prime is close to 6746 Ć ln(6746) ā 59477, and here it is 67741.
- 4
67741 has no twin: neither 67739 nor 67743 is prime.
Primes around the 6746th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6743 | 67709 | 10 |
| 6744 | 67723 | 14 |
| 6745 | 67733 | 10 |
| 6746 | 67741 | 8 |
| 6747 | 67751 | 10 |
| 6748 | 67757 | 6 |
| 6749 | 67759 | 2 |
Questions
What is the 6746th prime number?
67741.
Which prime number is 67741?
67741 is the 6746th prime number.
What is the sum of the first 6746 primes?
215,880,229.