What is the 1713th prime number?
The 1713th prime number is 14629. The next prime is 14633 (a gap of 4) and the one before is 14627.
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 1713th one is 14629.
- 2
14629 is prime because no prime up to ā14629 ā 120.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1713th prime is close to 1713 Ć ln(1713) ā 12755, and here it is 14629.
- 4
14629 is a twin prime: 14627 and 14629 are both prime.
Primes around the 1713th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1710 | 14593 | 2 |
| 1711 | 14621 | 28 |
| 1712 | 14627 | 6 |
| 1713 | 14629 | 2 |
| 1714 | 14633 | 4 |
| 1715 | 14639 | 6 |
| 1716 | 14653 | 14 |
Questions
What is the 1713th prime number?
14629.
Which prime number is 14629?
14629 is the 1713th prime number.
What is the sum of the first 1713 primes?
11,688,944.