What is the 6724th prime number?
The 6724th prime number is 67493. The next prime is 67499 (a gap of 6) and the one before is 67489.
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 6724th one is 67493.
- 2
67493 is prime because no prime up to ā67493 ā 259.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6724th prime is close to 6724 Ć ln(6724) ā 59262, and here it is 67493.
- 4
67493 has no twin: neither 67491 nor 67495 is prime.
Primes around the 6724th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6721 | 67477 | 24 |
| 6722 | 67481 | 4 |
| 6723 | 67489 | 8 |
| 6724 | 67493 | 4 |
| 6725 | 67499 | 6 |
| 6726 | 67511 | 12 |
| 6727 | 67523 | 12 |
Questions
What is the 6724th prime number?
67493.
Which prime number is 67493?
67493 is the 6724th prime number.
What is the sum of the first 6724 primes?
214,392,817.