What is the 1689th prime number?
The 1689th prime number is 14411. The next prime is 14419 (a gap of 8) and the one before is 14407.
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 1689th one is 14411.
- 2
14411 is prime because no prime up to ā14411 ā 120.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1689th prime is close to 1689 Ć ln(1689) ā 12552, and here it is 14411.
- 4
14411 has no twin: neither 14409 nor 14413 is prime.
Primes around the 1689th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1686 | 14389 | 2 |
| 1687 | 14401 | 12 |
| 1688 | 14407 | 6 |
| 1689 | 14411 | 4 |
| 1690 | 14419 | 8 |
| 1691 | 14423 | 4 |
| 1692 | 14431 | 8 |
Questions
What is the 1689th prime number?
14411.
Which prime number is 14411?
14411 is the 1689th prime number.
What is the sum of the first 1689 primes?
11,340,432.