What is the 3467th prime number?
The 3467th prime number is 32323. The next prime is 32327 (a gap of 4) and the one before is 32321.
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 3467th one is 32323.
- 2
32323 is prime because no prime up to ā32323 ā 179.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3467th prime is close to 3467 Ć ln(3467) ā 28260, and here it is 32323.
- 4
32323 is a twin prime: 32321 and 32323 are both prime.
Primes around the 3467th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3464 | 32303 | 4 |
| 3465 | 32309 | 6 |
| 3466 | 32321 | 12 |
| 3467 | 32323 | 2 |
| 3468 | 32327 | 4 |
| 3469 | 32341 | 14 |
| 3470 | 32353 | 12 |
Questions
What is the 3467th prime number?
32323.
Which prime number is 32323?
32323 is the 3467th prime number.
What is the sum of the first 3467 primes?
52,593,222.