What is the 743rd prime number?
The 743rd prime number is 5651. The next prime is 5653 (a gap of 2) and the one before is 5647.
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 743rd one is 5651.
- 2
5651 is prime because no prime up to ā5651 ā 75.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 743rd prime is close to 743 Ć ln(743) ā 4912, and here it is 5651.
- 4
5651 is a twin prime: 5651 and 5653 are both prime.
Primes around the 743rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 740 | 5639 | 16 |
| 741 | 5641 | 2 |
| 742 | 5647 | 6 |
| 743 | 5651 | 4 |
| 744 | 5653 | 2 |
| 745 | 5657 | 4 |
| 746 | 5659 | 2 |
Questions
What is the 743rd prime number?
5651.
Which prime number is 5651?
5651 is the 743rd prime number.
What is the sum of the first 743 primes?
1,942,404.