What is the 1692nd prime number?
The 1692nd prime number is 14431. The next prime is 14437 (a gap of 6) and the one before is 14423.
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 1692nd one is 14431.
- 2
14431 is prime because no prime up to ā14431 ā 120.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1692nd prime is close to 1692 Ć ln(1692) ā 12578, and here it is 14431.
- 4
14431 has no twin: neither 14429 nor 14433 is prime.
Primes around the 1692nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1689 | 14411 | 4 |
| 1690 | 14419 | 8 |
| 1691 | 14423 | 4 |
| 1692 | 14431 | 8 |
| 1693 | 14437 | 6 |
| 1694 | 14447 | 10 |
| 1695 | 14449 | 2 |
Questions
What is the 1692nd prime number?
14431.
Which prime number is 14431?
14431 is the 1692nd prime number.
What is the sum of the first 1692 primes?
11,383,705.