What is the 499th prime number?
The 499th prime number is 3559. The next prime is 3571 (a gap of 12) and the one before is 3557.
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 499th one is 3559.
- 2
3559 is prime because no prime up to ā3559 ā 59.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 499th prime is close to 499 Ć ln(499) ā 3100, and here it is 3559.
- 4
3559 is a twin prime: 3557 and 3559 are both prime.
Primes around the 499th
| Position | Prime | Gap from the previous |
|---|---|---|
| 496 | 3541 | 2 |
| 497 | 3547 | 6 |
| 498 | 3557 | 10 |
| 499 | 3559 | 2 |
| 500 | 3571 | 12 |
| 501 | 3581 | 10 |
| 502 | 3583 | 2 |
Questions
What is the 499th prime number?
3559.
Which prime number is 3559?
3559 is the 499th prime number.
What is the sum of the first 499 primes?
821,122.