What is the 3306th prime number?
The 3306th prime number is 30649. The next prime is 30661 (a gap of 12) and the one before is 30643.
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 3306th one is 30649.
- 2
30649 is prime because no prime up to ā30649 ā 175.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3306th prime is close to 3306 Ć ln(3306) ā 26790, and here it is 30649.
- 4
30649 has no twin: neither 30647 nor 30651 is prime.
Primes around the 3306th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3303 | 30631 | 38 |
| 3304 | 30637 | 6 |
| 3305 | 30643 | 6 |
| 3306 | 30649 | 6 |
| 3307 | 30661 | 12 |
| 3308 | 30671 | 10 |
| 3309 | 30677 | 6 |
Questions
What is the 3306th prime number?
30649.
Which prime number is 30649?
30649 is the 3306th prime number.
What is the sum of the first 3306 primes?
47,525,059.