What is the 6723rd prime number?
The 6723rd prime number is 67489. The next prime is 67493 (a gap of 4) and the one before is 67481.
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 6723rd one is 67489.
- 2
67489 is prime because no prime up to ā67489 ā 259.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6723rd prime is close to 6723 Ć ln(6723) ā 59252, and here it is 67489.
- 4
67489 has no twin: neither 67487 nor 67491 is prime.
Primes around the 6723rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6720 | 67453 | 6 |
| 6721 | 67477 | 24 |
| 6722 | 67481 | 4 |
| 6723 | 67489 | 8 |
| 6724 | 67493 | 4 |
| 6725 | 67499 | 6 |
| 6726 | 67511 | 12 |
Questions
What is the 6723rd prime number?
67489.
Which prime number is 67489?
67489 is the 6723rd prime number.
What is the sum of the first 6723 primes?
214,325,324.