What is the 1685th prime number?
The 1685th prime number is 14387. The next prime is 14389 (a gap of 2) and the one before is 14369.
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 1685th one is 14387.
- 2
14387 is prime because no prime up to ā14387 ā 119.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1685th prime is close to 1685 Ć ln(1685) ā 12519, and here it is 14387.
- 4
14387 is a twin prime: 14387 and 14389 are both prime.
Primes around the 1685th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1682 | 14341 | 14 |
| 1683 | 14347 | 6 |
| 1684 | 14369 | 22 |
| 1685 | 14387 | 18 |
| 1686 | 14389 | 2 |
| 1687 | 14401 | 12 |
| 1688 | 14407 | 6 |
Questions
What is the 1685th prime number?
14387.
Which prime number is 14387?
14387 is the 1685th prime number.
What is the sum of the first 1685 primes?
11,282,824.