What is the 3283rd prime number?
The 3283rd prime number is 30389. The next prime is 30391 (a gap of 2) and the one before is 30367.
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 3283rd one is 30389.
- 2
30389 is prime because no prime up to ā30389 ā 174.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3283rd prime is close to 3283 Ć ln(3283) ā 26581, and here it is 30389.
- 4
30389 is a twin prime: 30389 and 30391 are both prime.
Primes around the 3283rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3280 | 30341 | 18 |
| 3281 | 30347 | 6 |
| 3282 | 30367 | 20 |
| 3283 | 30389 | 22 |
| 3284 | 30391 | 2 |
| 3285 | 30403 | 12 |
| 3286 | 30427 | 24 |
Questions
What is the 3283rd prime number?
30389.
Which prime number is 30389?
30389 is the 3283rd prime number.
What is the sum of the first 3283 primes?
46,823,048.