What is the 6738th prime number?
The 6738th prime number is 67619. The next prime is 67631 (a gap of 12) and the one before is 67607.
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 6738th one is 67619.
- 2
67619 is prime because no prime up to ā67619 ā 260.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6738th prime is close to 6738 Ć ln(6738) ā 59399, and here it is 67619.
- 4
67619 has no twin: neither 67617 nor 67621 is prime.
Primes around the 6738th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6735 | 67589 | 10 |
| 6736 | 67601 | 12 |
| 6737 | 67607 | 6 |
| 6738 | 67619 | 12 |
| 6739 | 67631 | 12 |
| 6740 | 67651 | 20 |
| 6741 | 67679 | 28 |
Questions
What is the 6738th prime number?
67619.
Which prime number is 67619?
67619 is the 6738th prime number.
What is the sum of the first 6738 primes?
215,338,663.