What is the 3308th prime number?
The 3308th prime number is 30671. The next prime is 30677 (a gap of 6) and the one before is 30661.
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 3308th one is 30671.
- 2
30671 is prime because no prime up to ā30671 ā 175.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3308th prime is close to 3308 Ć ln(3308) ā 26808, and here it is 30671.
- 4
30671 has no twin: neither 30669 nor 30673 is prime.
Primes around the 3308th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3305 | 30643 | 6 |
| 3306 | 30649 | 6 |
| 3307 | 30661 | 12 |
| 3308 | 30671 | 10 |
| 3309 | 30677 | 6 |
| 3310 | 30689 | 12 |
| 3311 | 30697 | 8 |
Questions
What is the 3308th prime number?
30671.
Which prime number is 30671?
30671 is the 3308th prime number.
What is the sum of the first 3308 primes?
47,586,391.