What is the 3307th prime number?
The 3307th prime number is 30661. The next prime is 30671 (a gap of 10) and the one before is 30649.
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 3307th one is 30661.
- 2
30661 is prime because no prime up to ā30661 ā 175.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3307th prime is close to 3307 Ć ln(3307) ā 26799, and here it is 30661.
- 4
30661 has no twin: neither 30659 nor 30663 is prime.
Primes around the 3307th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3304 | 30637 | 6 |
| 3305 | 30643 | 6 |
| 3306 | 30649 | 6 |
| 3307 | 30661 | 12 |
| 3308 | 30671 | 10 |
| 3309 | 30677 | 6 |
| 3310 | 30689 | 12 |
Questions
What is the 3307th prime number?
30661.
Which prime number is 30661?
30661 is the 3307th prime number.
What is the sum of the first 3307 primes?
47,555,720.