What is the 492nd prime number?
The 492nd prime number is 3527. The next prime is 3529 (a gap of 2) and the one before is 3517.
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 492nd one is 3527.
- 2
3527 is prime because no prime up to ā3527 ā 59.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 492nd prime is close to 492 Ć ln(492) ā 3050, and here it is 3527.
- 4
3527 is a twin prime: 3527 and 3529 are both prime.
Primes around the 492nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 489 | 3499 | 8 |
| 490 | 3511 | 12 |
| 491 | 3517 | 6 |
| 492 | 3527 | 10 |
| 493 | 3529 | 2 |
| 494 | 3533 | 4 |
| 495 | 3539 | 6 |
Questions
What is the 492nd prime number?
3527.
Which prime number is 3527?
3527 is the 492nd prime number.
What is the sum of the first 492 primes?
796,317.