What is the 1693rd prime number?
The 1693rd prime number is 14437. The next prime is 14447 (a gap of 10) and the one before is 14431.
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 1693rd one is 14437.
- 2
14437 is prime because no prime up to ā14437 ā 120.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1693rd prime is close to 1693 Ć ln(1693) ā 12586, and here it is 14437.
- 4
14437 has no twin: neither 14435 nor 14439 is prime.
Primes around the 1693rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1690 | 14419 | 8 |
| 1691 | 14423 | 4 |
| 1692 | 14431 | 8 |
| 1693 | 14437 | 6 |
| 1694 | 14447 | 10 |
| 1695 | 14449 | 2 |
| 1696 | 14461 | 12 |
Questions
What is the 1693rd prime number?
14437.
Which prime number is 14437?
14437 is the 1693rd prime number.
What is the sum of the first 1693 primes?
11,398,142.