What is the 6744th prime number?
The 6744th prime number is 67723. The next prime is 67733 (a gap of 10) and the one before is 67709.
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 6744th one is 67723.
- 2
67723 is prime because no prime up to ā67723 ā 260.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6744th prime is close to 6744 Ć ln(6744) ā 59458, and here it is 67723.
- 4
67723 has no twin: neither 67721 nor 67725 is prime.
Primes around the 6744th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6741 | 67679 | 28 |
| 6742 | 67699 | 20 |
| 6743 | 67709 | 10 |
| 6744 | 67723 | 14 |
| 6745 | 67733 | 10 |
| 6746 | 67741 | 8 |
| 6747 | 67751 | 10 |
Questions
What is the 6744th prime number?
67723.
Which prime number is 67723?
67723 is the 6744th prime number.
What is the sum of the first 6744 primes?
215,744,755.