What is the 3279th prime number?
The 3279th prime number is 30323. The next prime is 30341 (a gap of 18) and the one before is 30319.
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 3279th one is 30323.
- 2
30323 is prime because no prime up to ā30323 ā 174.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3279th prime is close to 3279 Ć ln(3279) ā 26544, and here it is 30323.
- 4
30323 has no twin: neither 30321 nor 30325 is prime.
Primes around the 3279th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3276 | 30307 | 14 |
| 3277 | 30313 | 6 |
| 3278 | 30319 | 6 |
| 3279 | 30323 | 4 |
| 3280 | 30341 | 18 |
| 3281 | 30347 | 6 |
| 3282 | 30367 | 20 |
Questions
What is the 3279th prime number?
30323.
Which prime number is 30323?
30323 is the 3279th prime number.
What is the sum of the first 3279 primes?
46,701,604.