What is the 6722nd prime number?
The 6722nd prime number is 67481. The next prime is 67489 (a gap of 8) and the one before is 67477.
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 6722nd one is 67481.
- 2
67481 is prime because no prime up to ā67481 ā 259.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6722nd prime is close to 6722 Ć ln(6722) ā 59242, and here it is 67481.
- 4
67481 has no twin: neither 67479 nor 67483 is prime.
Primes around the 6722nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6719 | 67447 | 14 |
| 6720 | 67453 | 6 |
| 6721 | 67477 | 24 |
| 6722 | 67481 | 4 |
| 6723 | 67489 | 8 |
| 6724 | 67493 | 4 |
| 6725 | 67499 | 6 |
Questions
What is the 6722nd prime number?
67481.
Which prime number is 67481?
67481 is the 6722nd prime number.
What is the sum of the first 6722 primes?
214,257,835.