What is the 2nd prime number?
The 2nd prime number is 3. The next prime is 5 (a gap of 2) and the one before is 2.
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 2nd one is 3.
- 2
3 is prime because no prime up to ā3 ā 1.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2nd prime is close to 2 Ć ln(2) ā 1.
- 4
3 is a twin prime: 3 and 5 are both prime.
Primes around the 2nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1 | 2 | - |
| 2 | 3 | 1 |
| 3 | 5 | 2 |
| 4 | 7 | 2 |
| 5 | 11 | 4 |
Questions
What is the 2nd prime number?
3.
Which prime number is 3?
3 is the 2nd prime number.
What is the sum of the first 2 primes?
5.