What is the 485th prime number?
The 485th prime number is 3463. The next prime is 3467 (a gap of 4) and the one before is 3461.
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 485th one is 3463.
- 2
3463 is prime because no prime up to ā3463 ā 58.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 485th prime is close to 485 Ć ln(485) ā 2999, and here it is 3463.
- 4
3463 is a twin prime: 3461 and 3463 are both prime.
Primes around the 485th
| Position | Prime | Gap from the previous |
|---|---|---|
| 482 | 3449 | 16 |
| 483 | 3457 | 8 |
| 484 | 3461 | 4 |
| 485 | 3463 | 2 |
| 486 | 3467 | 4 |
| 487 | 3469 | 2 |
| 488 | 3491 | 22 |
Questions
What is the 485th prime number?
3463.
Which prime number is 3463?
3463 is the 485th prime number.
What is the sum of the first 485 primes?
771,836.