What is the 3478th prime number?
The 3478th prime number is 32411. The next prime is 32413 (a gap of 2) and the one before is 32401.
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 3478th one is 32411.
- 2
32411 is prime because no prime up to ā32411 ā 180.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3478th prime is close to 3478 Ć ln(3478) ā 28360, and here it is 32411.
- 4
32411 is a twin prime: 32411 and 32413 are both prime.
Primes around the 3478th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3475 | 32377 | 6 |
| 3476 | 32381 | 4 |
| 3477 | 32401 | 20 |
| 3478 | 32411 | 10 |
| 3479 | 32413 | 2 |
| 3480 | 32423 | 10 |
| 3481 | 32429 | 6 |
Questions
What is the 3478th prime number?
32411.
Which prime number is 32411?
32411 is the 3478th prime number.
What is the sum of the first 3478 primes?
52,949,275.