What is the 729th prime number?
The 729th prime number is 5519. The next prime is 5521 (a gap of 2) and the one before is 5507.
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 729th one is 5519.
- 2
5519 is prime because no prime up to ā5519 ā 74.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 729th prime is close to 729 Ć ln(729) ā 4805, and here it is 5519.
- 4
5519 is a twin prime: 5519 and 5521 are both prime.
Primes around the 729th
| Position | Prime | Gap from the previous |
|---|---|---|
| 726 | 5501 | 18 |
| 727 | 5503 | 2 |
| 728 | 5507 | 4 |
| 729 | 5519 | 12 |
| 730 | 5521 | 2 |
| 731 | 5527 | 6 |
| 732 | 5531 | 4 |
Questions
What is the 729th prime number?
5519.
Which prime number is 5519?
5519 is the 729th prime number.
What is the sum of the first 729 primes?
1,864,190.