What is the 6732nd prime number?
The 6732nd prime number is 67567. The next prime is 67577 (a gap of 10) and the one before is 67559.
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 6732nd one is 67567.
- 2
67567 is prime because no prime up to ā67567 ā 259.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6732nd prime is close to 6732 Ć ln(6732) ā 59340, and here it is 67567.
- 4
67567 has no twin: neither 67565 nor 67569 is prime.
Primes around the 6732nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6729 | 67537 | 6 |
| 6730 | 67547 | 10 |
| 6731 | 67559 | 12 |
| 6732 | 67567 | 8 |
| 6733 | 67577 | 10 |
| 6734 | 67579 | 2 |
| 6735 | 67589 | 10 |
Questions
What is the 6732nd prime number?
67567.
Which prime number is 67567?
67567 is the 6732nd prime number.
What is the sum of the first 6732 primes?
214,933,091.