What is the 3309th prime number?
The 3309th prime number is 30677. The next prime is 30689 (a gap of 12) and the one before is 30671.
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 3309th one is 30677.
- 2
30677 is prime because no prime up to ā30677 ā 175.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3309th prime is close to 3309 Ć ln(3309) ā 26817, and here it is 30677.
- 4
30677 has no twin: neither 30675 nor 30679 is prime.
Primes around the 3309th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3306 | 30649 | 6 |
| 3307 | 30661 | 12 |
| 3308 | 30671 | 10 |
| 3309 | 30677 | 6 |
| 3310 | 30689 | 12 |
| 3311 | 30697 | 8 |
| 3312 | 30703 | 6 |
Questions
What is the 3309th prime number?
30677.
Which prime number is 30677?
30677 is the 3309th prime number.
What is the sum of the first 3309 primes?
47,617,068.