What is the 495th prime number?
The 495th prime number is 3539. The next prime is 3541 (a gap of 2) and the one before is 3533.
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 495th one is 3539.
- 2
3539 is prime because no prime up to ā3539 ā 59.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 495th prime is close to 495 Ć ln(495) ā 3071, and here it is 3539.
- 4
3539 is a twin prime: 3539 and 3541 are both prime.
Primes around the 495th
| Position | Prime | Gap from the previous |
|---|---|---|
| 492 | 3527 | 10 |
| 493 | 3529 | 2 |
| 494 | 3533 | 4 |
| 495 | 3539 | 6 |
| 496 | 3541 | 2 |
| 497 | 3547 | 6 |
| 498 | 3557 | 10 |
Questions
What is the 495th prime number?
3539.
Which prime number is 3539?
3539 is the 495th prime number.
What is the sum of the first 495 primes?
806,918.