What is the 1691st prime number?
The 1691st prime number is 14423. The next prime is 14431 (a gap of 8) and the one before is 14419.
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 1691st one is 14423.
- 2
14423 is prime because no prime up to ā14423 ā 120.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1691st prime is close to 1691 Ć ln(1691) ā 12569, and here it is 14423.
- 4
14423 has no twin: neither 14421 nor 14425 is prime.
Primes around the 1691st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1688 | 14407 | 6 |
| 1689 | 14411 | 4 |
| 1690 | 14419 | 8 |
| 1691 | 14423 | 4 |
| 1692 | 14431 | 8 |
| 1693 | 14437 | 6 |
| 1694 | 14447 | 10 |
Questions
What is the 1691st prime number?
14423.
Which prime number is 14423?
14423 is the 1691st prime number.
What is the sum of the first 1691 primes?
11,369,274.