What is the 744th prime number?
The 744th prime number is 5653. The next prime is 5657 (a gap of 4) and the one before is 5651.
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 744th one is 5653.
- 2
5653 is prime because no prime up to ā5653 ā 75.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 744th prime is close to 744 Ć ln(744) ā 4919, and here it is 5653.
- 4
5653 is a twin prime: 5651 and 5653 are both prime.
Primes around the 744th
| Position | Prime | Gap from the previous |
|---|---|---|
| 741 | 5641 | 2 |
| 742 | 5647 | 6 |
| 743 | 5651 | 4 |
| 744 | 5653 | 2 |
| 745 | 5657 | 4 |
| 746 | 5659 | 2 |
| 747 | 5669 | 10 |
Questions
What is the 744th prime number?
5653.
Which prime number is 5653?
5653 is the 744th prime number.
What is the sum of the first 744 primes?
1,948,057.