What is the 16th prime number?
The 16th prime number is 53. The next prime is 59 (a gap of 6) and the one before is 47.
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 16th one is 53.
- 2
53 is prime because no prime up to ā53 ā 7.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 16th prime is close to 16 Ć ln(16) ā 44, and here it is 53.
- 4
53 has no twin: neither 51 nor 55 is prime.
Primes around the 16th
| Position | Prime | Gap from the previous |
|---|---|---|
| 13 | 41 | 4 |
| 14 | 43 | 2 |
| 15 | 47 | 4 |
| 16 | 53 | 6 |
| 17 | 59 | 6 |
| 18 | 61 | 2 |
| 19 | 67 | 6 |
Questions
What is the 16th prime number?
53.
Which prime number is 53?
53 is the 16th prime number.
What is the sum of the first 16 primes?
381.