What is the 6739th prime number?
The 6739th prime number is 67631. The next prime is 67651 (a gap of 20) and the one before is 67619.
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 6739th one is 67631.
- 2
67631 is prime because no prime up to ā67631 ā 260.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6739th prime is close to 6739 Ć ln(6739) ā 59409, and here it is 67631.
- 4
67631 has no twin: neither 67629 nor 67633 is prime.
Primes around the 6739th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6736 | 67601 | 12 |
| 6737 | 67607 | 6 |
| 6738 | 67619 | 12 |
| 6739 | 67631 | 12 |
| 6740 | 67651 | 20 |
| 6741 | 67679 | 28 |
| 6742 | 67699 | 20 |
Questions
What is the 6739th prime number?
67631.
Which prime number is 67631?
67631 is the 6739th prime number.
What is the sum of the first 6739 primes?
215,406,294.