What is the 724th prime number?
The 724th prime number is 5479. The next prime is 5483 (a gap of 4) and the one before is 5477.
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 724th one is 5479.
- 2
5479 is prime because no prime up to ā5479 ā 74.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 724th prime is close to 724 Ć ln(724) ā 4767, and here it is 5479.
- 4
5479 is a twin prime: 5477 and 5479 are both prime.
Primes around the 724th
| Position | Prime | Gap from the previous |
|---|---|---|
| 721 | 5449 | 6 |
| 722 | 5471 | 22 |
| 723 | 5477 | 6 |
| 724 | 5479 | 2 |
| 725 | 5483 | 4 |
| 726 | 5501 | 18 |
| 727 | 5503 | 2 |
Questions
What is the 724th prime number?
5479.
Which prime number is 5479?
5479 is the 724th prime number.
What is the sum of the first 724 primes?
1,836,677.