What is the 725th prime number?
The 725th prime number is 5483. The next prime is 5501 (a gap of 18) and the one before is 5479.
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 725th one is 5483.
- 2
5483 is prime because no prime up to ā5483 ā 74.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 725th prime is close to 725 Ć ln(725) ā 4775, and here it is 5483.
- 4
5483 has no twin: neither 5481 nor 5485 is prime.
Primes around the 725th
| Position | Prime | Gap from the previous |
|---|---|---|
| 722 | 5471 | 22 |
| 723 | 5477 | 6 |
| 724 | 5479 | 2 |
| 725 | 5483 | 4 |
| 726 | 5501 | 18 |
| 727 | 5503 | 2 |
| 728 | 5507 | 4 |
Questions
What is the 725th prime number?
5483.
Which prime number is 5483?
5483 is the 725th prime number.
What is the sum of the first 725 primes?
1,842,160.