What is the 3031st prime number?
The 3031st prime number is 27773. The next prime is 27779 (a gap of 6) and the one before is 27767.
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 3031st one is 27773.
- 2
27773 is prime because no prime up to ā27773 ā 166.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3031st prime is close to 3031 Ć ln(3031) ā 24298, and here it is 27773.
- 4
27773 has no twin: neither 27771 nor 27775 is prime.
Primes around the 3031st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3028 | 27751 | 2 |
| 3029 | 27763 | 12 |
| 3030 | 27767 | 4 |
| 3031 | 27773 | 6 |
| 3032 | 27779 | 6 |
| 3033 | 27791 | 12 |
| 3034 | 27793 | 2 |
Questions
What is the 3031st prime number?
27773.
Which prime number is 27773?
27773 is the 3031st prime number.
What is the sum of the first 3031 primes?
39,501,840.