What is the 3466th prime number?
The 3466th prime number is 32321. The next prime is 32323 (a gap of 2) and the one before is 32309.
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 3466th one is 32321.
- 2
32321 is prime because no prime up to ā32321 ā 179.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3466th prime is close to 3466 Ć ln(3466) ā 28251, and here it is 32321.
- 4
32321 is a twin prime: 32321 and 32323 are both prime.
Primes around the 3466th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3463 | 32299 | 2 |
| 3464 | 32303 | 4 |
| 3465 | 32309 | 6 |
| 3466 | 32321 | 12 |
| 3467 | 32323 | 2 |
| 3468 | 32327 | 4 |
| 3469 | 32341 | 14 |
Questions
What is the 3466th prime number?
32321.
Which prime number is 32321?
32321 is the 3466th prime number.
What is the sum of the first 3466 primes?
52,560,899.