What is the 3284th prime number?
The 3284th prime number is 30391. The next prime is 30403 (a gap of 12) and the one before is 30389.
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 3284th one is 30391.
- 2
30391 is prime because no prime up to ā30391 ā 174.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3284th prime is close to 3284 Ć ln(3284) ā 26590, and here it is 30391.
- 4
30391 is a twin prime: 30389 and 30391 are both prime.
Primes around the 3284th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3281 | 30347 | 6 |
| 3282 | 30367 | 20 |
| 3283 | 30389 | 22 |
| 3284 | 30391 | 2 |
| 3285 | 30403 | 12 |
| 3286 | 30427 | 24 |
| 3287 | 30431 | 4 |
Questions
What is the 3284th prime number?
30391.
Which prime number is 30391?
30391 is the 3284th prime number.
What is the sum of the first 3284 primes?
46,853,439.