What is the 6728th prime number?
The 6728th prime number is 67531. The next prime is 67537 (a gap of 6) and the one before is 67523.
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 6728th one is 67531.
- 2
67531 is prime because no prime up to ā67531 ā 259.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6728th prime is close to 6728 Ć ln(6728) ā 59301, and here it is 67531.
- 4
67531 has no twin: neither 67529 nor 67533 is prime.
Primes around the 6728th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6725 | 67499 | 6 |
| 6726 | 67511 | 12 |
| 6727 | 67523 | 12 |
| 6728 | 67531 | 8 |
| 6729 | 67537 | 6 |
| 6730 | 67547 | 10 |
| 6731 | 67559 | 12 |
Questions
What is the 6728th prime number?
67531.
Which prime number is 67531?
67531 is the 6728th prime number.
What is the sum of the first 6728 primes?
214,662,881.