What is the 731st prime number?
The 731st prime number is 5527. The next prime is 5531 (a gap of 4) and the one before is 5521.
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 731st one is 5527.
- 2
5527 is prime because no prime up to ā5527 ā 74.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 731st prime is close to 731 Ć ln(731) ā 4821, and here it is 5527.
- 4
5527 has no twin: neither 5525 nor 5529 is prime.
Primes around the 731st
| Position | Prime | Gap from the previous |
|---|---|---|
| 728 | 5507 | 4 |
| 729 | 5519 | 12 |
| 730 | 5521 | 2 |
| 731 | 5527 | 6 |
| 732 | 5531 | 4 |
| 733 | 5557 | 26 |
| 734 | 5563 | 6 |
Questions
What is the 731st prime number?
5527.
Which prime number is 5527?
5527 is the 731st prime number.
What is the sum of the first 731 primes?
1,875,238.