What is the 730th prime number?
The 730th prime number is 5521. The next prime is 5527 (a gap of 6) and the one before is 5519.
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 730th one is 5521.
- 2
5521 is prime because no prime up to ā5521 ā 74.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 730th prime is close to 730 Ć ln(730) ā 4813, and here it is 5521.
- 4
5521 is a twin prime: 5519 and 5521 are both prime.
Primes around the 730th
| Position | Prime | Gap from the previous |
|---|---|---|
| 727 | 5503 | 2 |
| 728 | 5507 | 4 |
| 729 | 5519 | 12 |
| 730 | 5521 | 2 |
| 731 | 5527 | 6 |
| 732 | 5531 | 4 |
| 733 | 5557 | 26 |
Questions
What is the 730th prime number?
5521.
Which prime number is 5521?
5521 is the 730th prime number.
What is the sum of the first 730 primes?
1,869,711.