What is the 733rd prime number?
The 733rd prime number is 5557. The next prime is 5563 (a gap of 6) and the one before is 5531.
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 733rd one is 5557.
- 2
5557 is prime because no prime up to ā5557 ā 74.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 733rd prime is close to 733 Ć ln(733) ā 4836, and here it is 5557.
- 4
5557 has no twin: neither 5555 nor 5559 is prime.
Primes around the 733rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 730 | 5521 | 2 |
| 731 | 5527 | 6 |
| 732 | 5531 | 4 |
| 733 | 5557 | 26 |
| 734 | 5563 | 6 |
| 735 | 5569 | 6 |
| 736 | 5573 | 4 |
Questions
What is the 733rd prime number?
5557.
Which prime number is 5557?
5557 is the 733rd prime number.
What is the sum of the first 733 primes?
1,886,326.