What is the 6720th prime number?
The 6720th prime number is 67453. The next prime is 67477 (a gap of 24) and the one before is 67447.
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 6720th one is 67453.
- 2
67453 is prime because no prime up to ā67453 ā 259.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6720th prime is close to 6720 Ć ln(6720) ā 59222, and here it is 67453.
- 4
67453 has no twin: neither 67451 nor 67455 is prime.
Primes around the 6720th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6717 | 67429 | 2 |
| 6718 | 67433 | 4 |
| 6719 | 67447 | 14 |
| 6720 | 67453 | 6 |
| 6721 | 67477 | 24 |
| 6722 | 67481 | 4 |
| 6723 | 67489 | 8 |
Questions
What is the 6720th prime number?
67453.
Which prime number is 67453?
67453 is the 6720th prime number.
What is the sum of the first 6720 primes?
214,122,877.