What is the 3rd prime number?
The 3rd prime number is 5. The next prime is 7 (a gap of 2) and the one before is 3.
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 3rd one is 5.
- 2
5 is prime because no prime up to ā5 ā 2.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3rd prime is close to 3 Ć ln(3) ā 3.
- 4
5 is a twin prime: 5 and 7 are both prime.
Primes around the 3rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1 | 2 | - |
| 2 | 3 | 1 |
| 3 | 5 | 2 |
| 4 | 7 | 2 |
| 5 | 11 | 4 |
| 6 | 13 | 2 |
Questions
What is the 3rd prime number?
5.
Which prime number is 5?
5 is the 3rd prime number.
What is the sum of the first 3 primes?
10.