What is the 3027th prime number?
The 3027th prime number is 27749. The next prime is 27751 (a gap of 2) and the one before is 27743.
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 3027th one is 27749.
- 2
27749 is prime because no prime up to ā27749 ā 166.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3027th prime is close to 3027 Ć ln(3027) ā 24262, and here it is 27749.
- 4
27749 is a twin prime: 27749 and 27751 are both prime.
Primes around the 3027th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3024 | 27737 | 4 |
| 3025 | 27739 | 2 |
| 3026 | 27743 | 4 |
| 3027 | 27749 | 6 |
| 3028 | 27751 | 2 |
| 3029 | 27763 | 12 |
| 3030 | 27767 | 4 |
Questions
What is the 3027th prime number?
27749.
Which prime number is 27749?
27749 is the 3027th prime number.
What is the sum of the first 3027 primes?
39,390,786.