What is the 6742nd prime number?
The 6742nd prime number is 67699. The next prime is 67709 (a gap of 10) and the one before is 67679.
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 6742nd one is 67699.
- 2
67699 is prime because no prime up to ā67699 ā 260.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6742nd prime is close to 6742 Ć ln(6742) ā 59438, and here it is 67699.
- 4
67699 has no twin: neither 67697 nor 67701 is prime.
Primes around the 6742nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6739 | 67631 | 12 |
| 6740 | 67651 | 20 |
| 6741 | 67679 | 28 |
| 6742 | 67699 | 20 |
| 6743 | 67709 | 10 |
| 6744 | 67723 | 14 |
| 6745 | 67733 | 10 |
Questions
What is the 6742nd prime number?
67699.
Which prime number is 67699?
67699 is the 6742nd prime number.
What is the sum of the first 6742 primes?
215,609,323.