What is the 728th prime number?
The 728th prime number is 5507. The next prime is 5519 (a gap of 12) and the one before is 5503.
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 728th one is 5507.
- 2
5507 is prime because no prime up to ā5507 ā 74.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 728th prime is close to 728 Ć ln(728) ā 4798, and here it is 5507.
- 4
5507 has no twin: neither 5505 nor 5509 is prime.
Primes around the 728th
| Position | Prime | Gap from the previous |
|---|---|---|
| 725 | 5483 | 4 |
| 726 | 5501 | 18 |
| 727 | 5503 | 2 |
| 728 | 5507 | 4 |
| 729 | 5519 | 12 |
| 730 | 5521 | 2 |
| 731 | 5527 | 6 |
Questions
What is the 728th prime number?
5507.
Which prime number is 5507?
5507 is the 728th prime number.
What is the sum of the first 728 primes?
1,858,671.