What is the 1714th prime number?
The 1714th prime number is 14633. The next prime is 14639 (a gap of 6) and the one before is 14629.
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 1714th one is 14633.
- 2
14633 is prime because no prime up to ā14633 ā 120.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1714th prime is close to 1714 Ć ln(1714) ā 12763, and here it is 14633.
- 4
14633 has no twin: neither 14631 nor 14635 is prime.
Primes around the 1714th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1711 | 14621 | 28 |
| 1712 | 14627 | 6 |
| 1713 | 14629 | 2 |
| 1714 | 14633 | 4 |
| 1715 | 14639 | 6 |
| 1716 | 14653 | 14 |
| 1717 | 14657 | 4 |
Questions
What is the 1714th prime number?
14633.
Which prime number is 14633?
14633 is the 1714th prime number.
What is the sum of the first 1714 primes?
11,703,577.