What is the 1669th prime number?
The 1669th prime number is 14177. The next prime is 14197 (a gap of 20) and the one before is 14173.
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 1669th one is 14177.
- 2
14177 is prime because no prime up to ā14177 ā 119.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1669th prime is close to 1669 Ć ln(1669) ā 12384, and here it is 14177.
- 4
14177 has no twin: neither 14175 nor 14179 is prime.
Primes around the 1669th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1666 | 14153 | 4 |
| 1667 | 14159 | 6 |
| 1668 | 14173 | 14 |
| 1669 | 14177 | 4 |
| 1670 | 14197 | 20 |
| 1671 | 14207 | 10 |
| 1672 | 14221 | 14 |
Questions
What is the 1669th prime number?
14177.
Which prime number is 14177?
14177 is the 1669th prime number.
What is the sum of the first 1669 primes?
11,054,164.