What is the 3310th prime number?
The 3310th prime number is 30689. The next prime is 30697 (a gap of 8) and the one before is 30677.
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 3310th one is 30689.
- 2
30689 is prime because no prime up to ā30689 ā 175.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3310th prime is close to 3310 Ć ln(3310) ā 26827, and here it is 30689.
- 4
30689 has no twin: neither 30687 nor 30691 is prime.
Primes around the 3310th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3307 | 30661 | 12 |
| 3308 | 30671 | 10 |
| 3309 | 30677 | 6 |
| 3310 | 30689 | 12 |
| 3311 | 30697 | 8 |
| 3312 | 30703 | 6 |
| 3313 | 30707 | 4 |
Questions
What is the 3310th prime number?
30689.
Which prime number is 30689?
30689 is the 3310th prime number.
What is the sum of the first 3310 primes?
47,647,757.