What is the 3483rd prime number?
The 3483rd prime number is 32443. The next prime is 32467 (a gap of 24) and the one before is 32441.
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 3483rd one is 32443.
- 2
32443 is prime because no prime up to ā32443 ā 180.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3483rd prime is close to 3483 Ć ln(3483) ā 28406, and here it is 32443.
- 4
32443 is a twin prime: 32441 and 32443 are both prime.
Primes around the 3483rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3480 | 32423 | 10 |
| 3481 | 32429 | 6 |
| 3482 | 32441 | 12 |
| 3483 | 32443 | 2 |
| 3484 | 32467 | 24 |
| 3485 | 32479 | 12 |
| 3486 | 32491 | 12 |
Questions
What is the 3483rd prime number?
32443.
Which prime number is 32443?
32443 is the 3483rd prime number.
What is the sum of the first 3483 primes?
53,111,424.