What is the 3305th prime number?
The 3305th prime number is 30643. The next prime is 30649 (a gap of 6) and the one before is 30637.
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 3305th one is 30643.
- 2
30643 is prime because no prime up to ā30643 ā 175.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3305th prime is close to 3305 Ć ln(3305) ā 26781, and here it is 30643.
- 4
30643 has no twin: neither 30641 nor 30645 is prime.
Primes around the 3305th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3302 | 30593 | 16 |
| 3303 | 30631 | 38 |
| 3304 | 30637 | 6 |
| 3305 | 30643 | 6 |
| 3306 | 30649 | 6 |
| 3307 | 30661 | 12 |
| 3308 | 30671 | 10 |
Questions
What is the 3305th prime number?
30643.
Which prime number is 30643?
30643 is the 3305th prime number.
What is the sum of the first 3305 primes?
47,494,410.