What is the 3333rd prime number?
The 3333rd prime number is 30911. The next prime is 30931 (a gap of 20) and the one before is 30893.
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 3333rd one is 30911.
- 2
30911 is prime because no prime up to ā30911 ā 175.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3333rd prime is close to 3333 Ć ln(3333) ā 27036, and here it is 30911.
- 4
30911 has no twin: neither 30909 nor 30913 is prime.
Primes around the 3333rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3330 | 30871 | 2 |
| 3331 | 30881 | 10 |
| 3332 | 30893 | 12 |
| 3333 | 30911 | 18 |
| 3334 | 30931 | 20 |
| 3335 | 30937 | 6 |
| 3336 | 30941 | 4 |
Questions
What is the 3333rd prime number?
30911.
Which prime number is 30911?
30911 is the 3333rd prime number.
What is the sum of the first 3333 primes?
48,356,304.