What is the 3323rd prime number?
The 3323rd prime number is 30829. The next prime is 30839 (a gap of 10) and the one before is 30817.
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 3323rd one is 30829.
- 2
30829 is prime because no prime up to ā30829 ā 175.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3323rd prime is close to 3323 Ć ln(3323) ā 26945, and here it is 30829.
- 4
30829 has no twin: neither 30827 nor 30831 is prime.
Primes around the 3323rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3320 | 30803 | 22 |
| 3321 | 30809 | 6 |
| 3322 | 30817 | 8 |
| 3323 | 30829 | 12 |
| 3324 | 30839 | 10 |
| 3325 | 30841 | 2 |
| 3326 | 30851 | 10 |
Questions
What is the 3323rd prime number?
30829.
Which prime number is 30829?
30829 is the 3323rd prime number.
What is the sum of the first 3323 primes?
48,047,636.