What is the 6737th prime number?
The 6737th prime number is 67607. The next prime is 67619 (a gap of 12) and the one before is 67601.
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 6737th one is 67607.
- 2
67607 is prime because no prime up to ā67607 ā 260.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6737th prime is close to 6737 Ć ln(6737) ā 59389, and here it is 67607.
- 4
67607 has no twin: neither 67605 nor 67609 is prime.
Primes around the 6737th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6734 | 67579 | 2 |
| 6735 | 67589 | 10 |
| 6736 | 67601 | 12 |
| 6737 | 67607 | 6 |
| 6738 | 67619 | 12 |
| 6739 | 67631 | 12 |
| 6740 | 67651 | 20 |
Questions
What is the 6737th prime number?
67607.
Which prime number is 67607?
67607 is the 6737th prime number.
What is the sum of the first 6737 primes?
215,271,044.