What is the 6743rd prime number?
The 6743rd prime number is 67709. The next prime is 67723 (a gap of 14) and the one before is 67699.
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 6743rd one is 67709.
- 2
67709 is prime because no prime up to ā67709 ā 260.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6743rd prime is close to 6743 Ć ln(6743) ā 59448, and here it is 67709.
- 4
67709 has no twin: neither 67707 nor 67711 is prime.
Primes around the 6743rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6740 | 67651 | 20 |
| 6741 | 67679 | 28 |
| 6742 | 67699 | 20 |
| 6743 | 67709 | 10 |
| 6744 | 67723 | 14 |
| 6745 | 67733 | 10 |
| 6746 | 67741 | 8 |
Questions
What is the 6743rd prime number?
67709.
Which prime number is 67709?
67709 is the 6743rd prime number.
What is the sum of the first 6743 primes?
215,677,032.