What is the 1679th prime number?
The 1679th prime number is 14321. The next prime is 14323 (a gap of 2) and the one before is 14303.
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 1679th one is 14321.
- 2
14321 is prime because no prime up to ā14321 ā 119.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1679th prime is close to 1679 Ć ln(1679) ā 12468, and here it is 14321.
- 4
14321 is a twin prime: 14321 and 14323 are both prime.
Primes around the 1679th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1676 | 14281 | 30 |
| 1677 | 14293 | 12 |
| 1678 | 14303 | 10 |
| 1679 | 14321 | 18 |
| 1680 | 14323 | 2 |
| 1681 | 14327 | 4 |
| 1682 | 14341 | 14 |
Questions
What is the 1679th prime number?
14321.
Which prime number is 14321?
14321 is the 1679th prime number.
What is the sum of the first 1679 primes?
11,196,730.