What is the 17th prime number?
The 17th prime number is 59. The next prime is 61 (a gap of 2) and the one before is 53.
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 17th one is 59.
- 2
59 is prime because no prime up to ā59 ā 7.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 17th prime is close to 17 Ć ln(17) ā 48, and here it is 59.
- 4
59 is a twin prime: 59 and 61 are both prime.
Primes around the 17th
| Position | Prime | Gap from the previous |
|---|---|---|
| 14 | 43 | 2 |
| 15 | 47 | 4 |
| 16 | 53 | 6 |
| 17 | 59 | 6 |
| 18 | 61 | 2 |
| 19 | 67 | 6 |
| 20 | 71 | 4 |
Questions
What is the 17th prime number?
59.
Which prime number is 59?
59 is the 17th prime number.
What is the sum of the first 17 primes?
440.