What is the 482nd prime number?
The 482nd prime number is 3449. The next prime is 3457 (a gap of 8) and the one before is 3433.
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 482nd one is 3449.
- 2
3449 is prime because no prime up to ā3449 ā 58.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 482nd prime is close to 482 Ć ln(482) ā 2978, and here it is 3449.
- 4
3449 has no twin: neither 3447 nor 3451 is prime.
Primes around the 482nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 479 | 3407 | 16 |
| 480 | 3413 | 6 |
| 481 | 3433 | 20 |
| 482 | 3449 | 16 |
| 483 | 3457 | 8 |
| 484 | 3461 | 4 |
| 485 | 3463 | 2 |
Questions
What is the 482nd prime number?
3449.
Which prime number is 3449?
3449 is the 482nd prime number.
What is the sum of the first 482 primes?
761,455.