What is the 3028th prime number?
The 3028th prime number is 27751. The next prime is 27763 (a gap of 12) and the one before is 27749.
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 3028th one is 27751.
- 2
27751 is prime because no prime up to ā27751 ā 166.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3028th prime is close to 3028 Ć ln(3028) ā 24271, and here it is 27751.
- 4
27751 is a twin prime: 27749 and 27751 are both prime.
Primes around the 3028th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3025 | 27739 | 2 |
| 3026 | 27743 | 4 |
| 3027 | 27749 | 6 |
| 3028 | 27751 | 2 |
| 3029 | 27763 | 12 |
| 3030 | 27767 | 4 |
| 3031 | 27773 | 6 |
Questions
What is the 3028th prime number?
27751.
Which prime number is 27751?
27751 is the 3028th prime number.
What is the sum of the first 3028 primes?
39,418,537.