What is the 722nd prime number?
The 722nd prime number is 5471. The next prime is 5477 (a gap of 6) and the one before is 5449.
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 722nd one is 5471.
- 2
5471 is prime because no prime up to ā5471 ā 73.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 722nd prime is close to 722 Ć ln(722) ā 4752, and here it is 5471.
- 4
5471 has no twin: neither 5469 nor 5473 is prime.
Primes around the 722nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 719 | 5441 | 4 |
| 720 | 5443 | 2 |
| 721 | 5449 | 6 |
| 722 | 5471 | 22 |
| 723 | 5477 | 6 |
| 724 | 5479 | 2 |
| 725 | 5483 | 4 |
Questions
What is the 722nd prime number?
5471.
Which prime number is 5471?
5471 is the 722nd prime number.
What is the sum of the first 722 primes?
1,825,721.