What is the 14th prime number?
The 14th prime number is 43. The next prime is 47 (a gap of 4) and the one before is 41.
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, ⦠The 14th one is 43.
- 2
43 is prime because no prime up to ā43 ā 6.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 14th prime is close to 14 Ć ln(14) ā 37, and here it is 43.
- 4
43 is a twin prime: 41 and 43 are both prime.
Primes around the 14th
| Position | Prime | Gap from the previous |
|---|---|---|
| 11 | 31 | 2 |
| 12 | 37 | 6 |
| 13 | 41 | 4 |
| 14 | 43 | 2 |
| 15 | 47 | 4 |
| 16 | 53 | 6 |
| 17 | 59 | 6 |
Questions
What is the 14th prime number?
43.
Which prime number is 43?
43 is the 14th prime number.
What is the sum of the first 14 primes?
281.