What is the 3290th prime number?
The 3290th prime number is 30469. The next prime is 30491 (a gap of 22) and the one before is 30467.
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 3290th one is 30469.
- 2
30469 is prime because no prime up to ā30469 ā 174.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3290th prime is close to 3290 Ć ln(3290) ā 26645, and here it is 30469.
- 4
30469 is a twin prime: 30467 and 30469 are both prime.
Primes around the 3290th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3287 | 30431 | 4 |
| 3288 | 30449 | 18 |
| 3289 | 30467 | 18 |
| 3290 | 30469 | 2 |
| 3291 | 30491 | 22 |
| 3292 | 30493 | 2 |
| 3293 | 30497 | 4 |
Questions
What is the 3290th prime number?
30469.
Which prime number is 30469?
30469 is the 3290th prime number.
What is the sum of the first 3290 primes?
47,036,085.