What is the 3482nd prime number?
The 3482nd prime number is 32441. The next prime is 32443 (a gap of 2) and the one before is 32429.
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 3482nd one is 32441.
- 2
32441 is prime because no prime up to ā32441 ā 180.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3482nd prime is close to 3482 Ć ln(3482) ā 28397, and here it is 32441.
- 4
32441 is a twin prime: 32441 and 32443 are both prime.
Primes around the 3482nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3479 | 32413 | 2 |
| 3480 | 32423 | 10 |
| 3481 | 32429 | 6 |
| 3482 | 32441 | 12 |
| 3483 | 32443 | 2 |
| 3484 | 32467 | 24 |
| 3485 | 32479 | 12 |
Questions
What is the 3482nd prime number?
32441.
Which prime number is 32441?
32441 is the 3482nd prime number.
What is the sum of the first 3482 primes?
53,078,981.