What is the 6729th prime number?
The 6729th prime number is 67537. The next prime is 67547 (a gap of 10) and the one before is 67531.
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 6729th one is 67537.
- 2
67537 is prime because no prime up to ā67537 ā 259.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6729th prime is close to 6729 Ć ln(6729) ā 59311, and here it is 67537.
- 4
67537 has no twin: neither 67535 nor 67539 is prime.
Primes around the 6729th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6726 | 67511 | 12 |
| 6727 | 67523 | 12 |
| 6728 | 67531 | 8 |
| 6729 | 67537 | 6 |
| 6730 | 67547 | 10 |
| 6731 | 67559 | 12 |
| 6732 | 67567 | 8 |
Questions
What is the 6729th prime number?
67537.
Which prime number is 67537?
67537 is the 6729th prime number.
What is the sum of the first 6729 primes?
214,730,418.