What is the 1716th prime number?
The 1716th prime number is 14653. The next prime is 14657 (a gap of 4) and the one before is 14639.
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 1716th one is 14653.
- 2
14653 is prime because no prime up to ā14653 ā 121.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1716th prime is close to 1716 Ć ln(1716) ā 12780, and here it is 14653.
- 4
14653 has no twin: neither 14651 nor 14655 is prime.
Primes around the 1716th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1713 | 14629 | 2 |
| 1714 | 14633 | 4 |
| 1715 | 14639 | 6 |
| 1716 | 14653 | 14 |
| 1717 | 14657 | 4 |
| 1718 | 14669 | 12 |
| 1719 | 14683 | 14 |
Questions
What is the 1716th prime number?
14653.
Which prime number is 14653?
14653 is the 1716th prime number.
What is the sum of the first 1716 primes?
11,732,869.