What is the 3032nd prime number?
The 3032nd prime number is 27779. The next prime is 27791 (a gap of 12) and the one before is 27773.
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 3032nd one is 27779.
- 2
27779 is prime because no prime up to ā27779 ā 166.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3032nd prime is close to 3032 Ć ln(3032) ā 24307, and here it is 27779.
- 4
27779 has no twin: neither 27777 nor 27781 is prime.
Primes around the 3032nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3029 | 27763 | 12 |
| 3030 | 27767 | 4 |
| 3031 | 27773 | 6 |
| 3032 | 27779 | 6 |
| 3033 | 27791 | 12 |
| 3034 | 27793 | 2 |
| 3035 | 27799 | 6 |
Questions
What is the 3032nd prime number?
27779.
Which prime number is 27779?
27779 is the 3032nd prime number.
What is the sum of the first 3032 primes?
39,529,619.