What is the 15th prime number?
The 15th prime number is 47. The next prime is 53 (a gap of 6) and the one before is 43.
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 15th one is 47.
- 2
47 is prime because no prime up to ā47 ā 6.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 15th prime is close to 15 Ć ln(15) ā 41, and here it is 47.
- 4
47 has no twin: neither 45 nor 49 is prime.
Primes around the 15th
| Position | Prime | Gap from the previous |
|---|---|---|
| 12 | 37 | 6 |
| 13 | 41 | 4 |
| 14 | 43 | 2 |
| 15 | 47 | 4 |
| 16 | 53 | 6 |
| 17 | 59 | 6 |
| 18 | 61 | 2 |
Questions
What is the 15th prime number?
47.
Which prime number is 47?
47 is the 15th prime number.
What is the sum of the first 15 primes?
328.