What is the 6730th prime number?
The 6730th prime number is 67547. The next prime is 67559 (a gap of 12) and the one before is 67537.
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 6730th one is 67547.
- 2
67547 is prime because no prime up to ā67547 ā 259.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6730th prime is close to 6730 Ć ln(6730) ā 59320, and here it is 67547.
- 4
67547 has no twin: neither 67545 nor 67549 is prime.
Primes around the 6730th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6727 | 67523 | 12 |
| 6728 | 67531 | 8 |
| 6729 | 67537 | 6 |
| 6730 | 67547 | 10 |
| 6731 | 67559 | 12 |
| 6732 | 67567 | 8 |
| 6733 | 67577 | 10 |
Questions
What is the 6730th prime number?
67547.
Which prime number is 67547?
67547 is the 6730th prime number.
What is the sum of the first 6730 primes?
214,797,965.