What is the 727th prime number?
The 727th prime number is 5503. The next prime is 5507 (a gap of 4) and the one before is 5501.
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 727th one is 5503.
- 2
5503 is prime because no prime up to ā5503 ā 74.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 727th prime is close to 727 Ć ln(727) ā 4790, and here it is 5503.
- 4
5503 is a twin prime: 5501 and 5503 are both prime.
Primes around the 727th
| Position | Prime | Gap from the previous |
|---|---|---|
| 724 | 5479 | 2 |
| 725 | 5483 | 4 |
| 726 | 5501 | 18 |
| 727 | 5503 | 2 |
| 728 | 5507 | 4 |
| 729 | 5519 | 12 |
| 730 | 5521 | 2 |
Questions
What is the 727th prime number?
5503.
Which prime number is 5503?
5503 is the 727th prime number.
What is the sum of the first 727 primes?
1,853,164.