What is the 1712th prime number?
The 1712th prime number is 14627. The next prime is 14629 (a gap of 2) and the one before is 14621.
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 1712th one is 14627.
- 2
14627 is prime because no prime up to ā14627 ā 120.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1712th prime is close to 1712 Ć ln(1712) ā 12747, and here it is 14627.
- 4
14627 is a twin prime: 14627 and 14629 are both prime.
Primes around the 1712th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1709 | 14591 | 28 |
| 1710 | 14593 | 2 |
| 1711 | 14621 | 28 |
| 1712 | 14627 | 6 |
| 1713 | 14629 | 2 |
| 1714 | 14633 | 4 |
| 1715 | 14639 | 6 |
Questions
What is the 1712th prime number?
14627.
Which prime number is 14627?
14627 is the 1712th prime number.
What is the sum of the first 1712 primes?
11,674,315.