What is the 493rd prime number?
The 493rd prime number is 3529. The next prime is 3533 (a gap of 4) and the one before is 3527.
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 493rd one is 3529.
- 2
3529 is prime because no prime up to ā3529 ā 59.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 493rd prime is close to 493 Ć ln(493) ā 3057, and here it is 3529.
- 4
3529 is a twin prime: 3527 and 3529 are both prime.
Primes around the 493rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 490 | 3511 | 12 |
| 491 | 3517 | 6 |
| 492 | 3527 | 10 |
| 493 | 3529 | 2 |
| 494 | 3533 | 4 |
| 495 | 3539 | 6 |
| 496 | 3541 | 2 |
Questions
What is the 493rd prime number?
3529.
Which prime number is 3529?
3529 is the 493rd prime number.
What is the sum of the first 493 primes?
799,846.