What is the 494th prime number?
The 494th prime number is 3533. The next prime is 3539 (a gap of 6) and the one before is 3529.
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 494th one is 3533.
- 2
3533 is prime because no prime up to ā3533 ā 59.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 494th prime is close to 494 Ć ln(494) ā 3064, and here it is 3533.
- 4
3533 has no twin: neither 3531 nor 3535 is prime.
Primes around the 494th
| Position | Prime | Gap from the previous |
|---|---|---|
| 491 | 3517 | 6 |
| 492 | 3527 | 10 |
| 493 | 3529 | 2 |
| 494 | 3533 | 4 |
| 495 | 3539 | 6 |
| 496 | 3541 | 2 |
| 497 | 3547 | 6 |
Questions
What is the 494th prime number?
3533.
Which prime number is 3533?
3533 is the 494th prime number.
What is the sum of the first 494 primes?
803,379.