What is the 732nd prime number?
The 732nd prime number is 5531. The next prime is 5557 (a gap of 26) and the one before is 5527.
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 732nd one is 5531.
- 2
5531 is prime because no prime up to ā5531 ā 74.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 732nd prime is close to 732 Ć ln(732) ā 4828, and here it is 5531.
- 4
5531 has no twin: neither 5529 nor 5533 is prime.
Primes around the 732nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 729 | 5519 | 12 |
| 730 | 5521 | 2 |
| 731 | 5527 | 6 |
| 732 | 5531 | 4 |
| 733 | 5557 | 26 |
| 734 | 5563 | 6 |
| 735 | 5569 | 6 |
Questions
What is the 732nd prime number?
5531.
Which prime number is 5531?
5531 is the 732nd prime number.
What is the sum of the first 732 primes?
1,880,769.