What is the 484th prime number?
The 484th prime number is 3461. The next prime is 3463 (a gap of 2) and the one before is 3457.
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 484th one is 3461.
- 2
3461 is prime because no prime up to ā3461 ā 58.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 484th prime is close to 484 Ć ln(484) ā 2992, and here it is 3461.
- 4
3461 is a twin prime: 3461 and 3463 are both prime.
Primes around the 484th
| Position | Prime | Gap from the previous |
|---|---|---|
| 481 | 3433 | 20 |
| 482 | 3449 | 16 |
| 483 | 3457 | 8 |
| 484 | 3461 | 4 |
| 485 | 3463 | 2 |
| 486 | 3467 | 4 |
| 487 | 3469 | 2 |
Questions
What is the 484th prime number?
3461.
Which prime number is 3461?
3461 is the 484th prime number.
What is the sum of the first 484 primes?
768,373.