What is the 6741st prime number?
The 6741st prime number is 67679. The next prime is 67699 (a gap of 20) and the one before is 67651.
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 6741st one is 67679.
- 2
67679 is prime because no prime up to ā67679 ā 260.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6741st prime is close to 6741 Ć ln(6741) ā 59428, and here it is 67679.
- 4
67679 has no twin: neither 67677 nor 67681 is prime.
Primes around the 6741st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6738 | 67619 | 12 |
| 6739 | 67631 | 12 |
| 6740 | 67651 | 20 |
| 6741 | 67679 | 28 |
| 6742 | 67699 | 20 |
| 6743 | 67709 | 10 |
| 6744 | 67723 | 14 |
Questions
What is the 6741st prime number?
67679.
Which prime number is 67679?
67679 is the 6741st prime number.
What is the sum of the first 6741 primes?
215,541,624.