What is the 498th prime number?
The 498th prime number is 3557. The next prime is 3559 (a gap of 2) and the one before is 3547.
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 498th one is 3557.
- 2
3557 is prime because no prime up to ā3557 ā 59.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 498th prime is close to 498 Ć ln(498) ā 3093, and here it is 3557.
- 4
3557 is a twin prime: 3557 and 3559 are both prime.
Primes around the 498th
| Position | Prime | Gap from the previous |
|---|---|---|
| 495 | 3539 | 6 |
| 496 | 3541 | 2 |
| 497 | 3547 | 6 |
| 498 | 3557 | 10 |
| 499 | 3559 | 2 |
| 500 | 3571 | 12 |
| 501 | 3581 | 10 |
Questions
What is the 498th prime number?
3557.
Which prime number is 3557?
3557 is the 498th prime number.
What is the sum of the first 498 primes?
817,563.