What is the 1680th prime number?
The 1680th prime number is 14323. The next prime is 14327 (a gap of 4) and the one before is 14321.
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 1680th one is 14323.
- 2
14323 is prime because no prime up to ā14323 ā 119.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1680th prime is close to 1680 Ć ln(1680) ā 12477, and here it is 14323.
- 4
14323 is a twin prime: 14321 and 14323 are both prime.
Primes around the 1680th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1677 | 14293 | 12 |
| 1678 | 14303 | 10 |
| 1679 | 14321 | 18 |
| 1680 | 14323 | 2 |
| 1681 | 14327 | 4 |
| 1682 | 14341 | 14 |
| 1683 | 14347 | 6 |
Questions
What is the 1680th prime number?
14323.
Which prime number is 14323?
14323 is the 1680th prime number.
What is the sum of the first 1680 primes?
11,211,053.