What is the 726th prime number?
The 726th prime number is 5501. The next prime is 5503 (a gap of 2) and the one before is 5483.
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 726th one is 5501.
- 2
5501 is prime because no prime up to ā5501 ā 74.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 726th prime is close to 726 Ć ln(726) ā 4783, and here it is 5501.
- 4
5501 is a twin prime: 5501 and 5503 are both prime.
Primes around the 726th
| Position | Prime | Gap from the previous |
|---|---|---|
| 723 | 5477 | 6 |
| 724 | 5479 | 2 |
| 725 | 5483 | 4 |
| 726 | 5501 | 18 |
| 727 | 5503 | 2 |
| 728 | 5507 | 4 |
| 729 | 5519 | 12 |
Questions
What is the 726th prime number?
5501.
Which prime number is 5501?
5501 is the 726th prime number.
What is the sum of the first 726 primes?
1,847,661.