What is the 6740th prime number?
The 6740th prime number is 67651. The next prime is 67679 (a gap of 28) and the one before is 67631.
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 6740th one is 67651.
- 2
67651 is prime because no prime up to ā67651 ā 260.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6740th prime is close to 6740 Ć ln(6740) ā 59419, and here it is 67651.
- 4
67651 has no twin: neither 67649 nor 67653 is prime.
Primes around the 6740th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6737 | 67607 | 6 |
| 6738 | 67619 | 12 |
| 6739 | 67631 | 12 |
| 6740 | 67651 | 20 |
| 6741 | 67679 | 28 |
| 6742 | 67699 | 20 |
| 6743 | 67709 | 10 |
Questions
What is the 6740th prime number?
67651.
Which prime number is 67651?
67651 is the 6740th prime number.
What is the sum of the first 6740 primes?
215,473,945.