What is the 6733rd prime number?
The 6733rd prime number is 67577. The next prime is 67579 (a gap of 2) and the one before is 67567.
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 6733rd one is 67577.
- 2
67577 is prime because no prime up to ā67577 ā 259.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6733rd prime is close to 6733 Ć ln(6733) ā 59350, and here it is 67577.
- 4
67577 is a twin prime: 67577 and 67579 are both prime.
Primes around the 6733rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6730 | 67547 | 10 |
| 6731 | 67559 | 12 |
| 6732 | 67567 | 8 |
| 6733 | 67577 | 10 |
| 6734 | 67579 | 2 |
| 6735 | 67589 | 10 |
| 6736 | 67601 | 12 |
Questions
What is the 6733rd prime number?
67577.
Which prime number is 67577?
67577 is the 6733rd prime number.
What is the sum of the first 6733 primes?
215,000,668.