What is the 3282nd prime number?
The 3282nd prime number is 30367. The next prime is 30389 (a gap of 22) and the one before is 30347.
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 3282nd one is 30367.
- 2
30367 is prime because no prime up to ā30367 ā 174.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3282nd prime is close to 3282 Ć ln(3282) ā 26572, and here it is 30367.
- 4
30367 has no twin: neither 30365 nor 30369 is prime.
Primes around the 3282nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3279 | 30323 | 4 |
| 3280 | 30341 | 18 |
| 3281 | 30347 | 6 |
| 3282 | 30367 | 20 |
| 3283 | 30389 | 22 |
| 3284 | 30391 | 2 |
| 3285 | 30403 | 12 |
Questions
What is the 3282nd prime number?
30367.
Which prime number is 30367?
30367 is the 3282nd prime number.
What is the sum of the first 3282 primes?
46,792,659.