What is the 483rd prime number?
The 483rd prime number is 3457. The next prime is 3461 (a gap of 4) and the one before is 3449.
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 483rd one is 3457.
- 2
3457 is prime because no prime up to ā3457 ā 58.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 483rd prime is close to 483 Ć ln(483) ā 2985, and here it is 3457.
- 4
3457 has no twin: neither 3455 nor 3459 is prime.
Primes around the 483rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 480 | 3413 | 6 |
| 481 | 3433 | 20 |
| 482 | 3449 | 16 |
| 483 | 3457 | 8 |
| 484 | 3461 | 4 |
| 485 | 3463 | 2 |
| 486 | 3467 | 4 |
Questions
What is the 483rd prime number?
3457.
Which prime number is 3457?
3457 is the 483rd prime number.
What is the sum of the first 483 primes?
764,912.