What is the 720th prime number?
The 720th prime number is 5443. The next prime is 5449 (a gap of 6) and the one before is 5441.
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 720th one is 5443.
- 2
5443 is prime because no prime up to ā5443 ā 73.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 720th prime is close to 720 Ć ln(720) ā 4737, and here it is 5443.
- 4
5443 is a twin prime: 5441 and 5443 are both prime.
Primes around the 720th
| Position | Prime | Gap from the previous |
|---|---|---|
| 717 | 5431 | 12 |
| 718 | 5437 | 6 |
| 719 | 5441 | 4 |
| 720 | 5443 | 2 |
| 721 | 5449 | 6 |
| 722 | 5471 | 22 |
| 723 | 5477 | 6 |
Questions
What is the 720th prime number?
5443.
Which prime number is 5443?
5443 is the 720th prime number.
What is the sum of the first 720 primes?
1,814,801.