What is the 3033rd prime number?
The 3033rd prime number is 27791. The next prime is 27793 (a gap of 2) and the one before is 27779.
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 3033rd one is 27791.
- 2
27791 is prime because no prime up to ā27791 ā 166.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3033rd prime is close to 3033 Ć ln(3033) ā 24316, and here it is 27791.
- 4
27791 is a twin prime: 27791 and 27793 are both prime.
Primes around the 3033rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3030 | 27767 | 4 |
| 3031 | 27773 | 6 |
| 3032 | 27779 | 6 |
| 3033 | 27791 | 12 |
| 3034 | 27793 | 2 |
| 3035 | 27799 | 6 |
| 3036 | 27803 | 4 |
Questions
What is the 3033rd prime number?
27791.
Which prime number is 27791?
27791 is the 3033rd prime number.
What is the sum of the first 3033 primes?
39,557,410.