What is the 6721st prime number?
The 6721st prime number is 67477. The next prime is 67481 (a gap of 4) and the one before is 67453.
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 6721st one is 67477.
- 2
67477 is prime because no prime up to ā67477 ā 259.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6721st prime is close to 6721 Ć ln(6721) ā 59232, and here it is 67477.
- 4
67477 has no twin: neither 67475 nor 67479 is prime.
Primes around the 6721st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6718 | 67433 | 4 |
| 6719 | 67447 | 14 |
| 6720 | 67453 | 6 |
| 6721 | 67477 | 24 |
| 6722 | 67481 | 4 |
| 6723 | 67489 | 8 |
| 6724 | 67493 | 4 |
Questions
What is the 6721st prime number?
67477.
Which prime number is 67477?
67477 is the 6721st prime number.
What is the sum of the first 6721 primes?
214,190,354.