What is the 3324th prime number?
The 3324th prime number is 30839. The next prime is 30841 (a gap of 2) and the one before is 30829.
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 3324th one is 30839.
- 2
30839 is prime because no prime up to ā30839 ā 175.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3324th prime is close to 3324 Ć ln(3324) ā 26954, and here it is 30839.
- 4
30839 is a twin prime: 30839 and 30841 are both prime.
Primes around the 3324th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3321 | 30809 | 6 |
| 3322 | 30817 | 8 |
| 3323 | 30829 | 12 |
| 3324 | 30839 | 10 |
| 3325 | 30841 | 2 |
| 3326 | 30851 | 10 |
| 3327 | 30853 | 2 |
Questions
What is the 3324th prime number?
30839.
Which prime number is 30839?
30839 is the 3324th prime number.
What is the sum of the first 3324 primes?
48,078,475.