What is the 6727th prime number?
The 6727th prime number is 67523. The next prime is 67531 (a gap of 8) and the one before is 67511.
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 6727th one is 67523.
- 2
67523 is prime because no prime up to ā67523 ā 259.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6727th prime is close to 6727 Ć ln(6727) ā 59291, and here it is 67523.
- 4
67523 has no twin: neither 67521 nor 67525 is prime.
Primes around the 6727th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6724 | 67493 | 4 |
| 6725 | 67499 | 6 |
| 6726 | 67511 | 12 |
| 6727 | 67523 | 12 |
| 6728 | 67531 | 8 |
| 6729 | 67537 | 6 |
| 6730 | 67547 | 10 |
Questions
What is the 6727th prime number?
67523.
Which prime number is 67523?
67523 is the 6727th prime number.
What is the sum of the first 6727 primes?
214,595,350.