What is the 3289th prime number?
The 3289th prime number is 30467. The next prime is 30469 (a gap of 2) and the one before is 30449.
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 3289th one is 30467.
- 2
30467 is prime because no prime up to ā30467 ā 174.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3289th prime is close to 3289 Ć ln(3289) ā 26635, and here it is 30467.
- 4
30467 is a twin prime: 30467 and 30469 are both prime.
Primes around the 3289th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3286 | 30427 | 24 |
| 3287 | 30431 | 4 |
| 3288 | 30449 | 18 |
| 3289 | 30467 | 18 |
| 3290 | 30469 | 2 |
| 3291 | 30491 | 22 |
| 3292 | 30493 | 2 |
Questions
What is the 3289th prime number?
30467.
Which prime number is 30467?
30467 is the 3289th prime number.
What is the sum of the first 3289 primes?
47,005,616.