What is the 1684th prime number?
The 1684th prime number is 14369. The next prime is 14387 (a gap of 18) and the one before is 14347.
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 1684th one is 14369.
- 2
14369 is prime because no prime up to ā14369 ā 119.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1684th prime is close to 1684 Ć ln(1684) ā 12510, and here it is 14369.
- 4
14369 has no twin: neither 14367 nor 14371 is prime.
Primes around the 1684th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1681 | 14327 | 4 |
| 1682 | 14341 | 14 |
| 1683 | 14347 | 6 |
| 1684 | 14369 | 22 |
| 1685 | 14387 | 18 |
| 1686 | 14389 | 2 |
| 1687 | 14401 | 12 |
Questions
What is the 1684th prime number?
14369.
Which prime number is 14369?
14369 is the 1684th prime number.
What is the sum of the first 1684 primes?
11,268,437.