What is the 723rd prime number?
The 723rd prime number is 5477. The next prime is 5479 (a gap of 2) and the one before is 5471.
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 723rd one is 5477.
- 2
5477 is prime because no prime up to ā5477 ā 74.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 723rd prime is close to 723 Ć ln(723) ā 4760, and here it is 5477.
- 4
5477 is a twin prime: 5477 and 5479 are both prime.
Primes around the 723rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 720 | 5443 | 2 |
| 721 | 5449 | 6 |
| 722 | 5471 | 22 |
| 723 | 5477 | 6 |
| 724 | 5479 | 2 |
| 725 | 5483 | 4 |
| 726 | 5501 | 18 |
Questions
What is the 723rd prime number?
5477.
Which prime number is 5477?
5477 is the 723rd prime number.
What is the sum of the first 723 primes?
1,831,198.