What is the 3479th prime number?
The 3479th prime number is 32413. The next prime is 32423 (a gap of 10) and the one before is 32411.
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 3479th one is 32413.
- 2
32413 is prime because no prime up to ā32413 ā 180.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3479th prime is close to 3479 Ć ln(3479) ā 28370, and here it is 32413.
- 4
32413 is a twin prime: 32411 and 32413 are both prime.
Primes around the 3479th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3476 | 32381 | 4 |
| 3477 | 32401 | 20 |
| 3478 | 32411 | 10 |
| 3479 | 32413 | 2 |
| 3480 | 32423 | 10 |
| 3481 | 32429 | 6 |
| 3482 | 32441 | 12 |
Questions
What is the 3479th prime number?
32413.
Which prime number is 32413?
32413 is the 3479th prime number.
What is the sum of the first 3479 primes?
52,981,688.