What is the 1668th prime number?
The 1668th prime number is 14173. The next prime is 14177 (a gap of 4) and the one before is 14159.
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 1668th one is 14173.
- 2
14173 is prime because no prime up to ā14173 ā 119.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1668th prime is close to 1668 Ć ln(1668) ā 12376, and here it is 14173.
- 4
14173 has no twin: neither 14171 nor 14175 is prime.
Primes around the 1668th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1665 | 14149 | 6 |
| 1666 | 14153 | 4 |
| 1667 | 14159 | 6 |
| 1668 | 14173 | 14 |
| 1669 | 14177 | 4 |
| 1670 | 14197 | 20 |
| 1671 | 14207 | 10 |
Questions
What is the 1668th prime number?
14173.
Which prime number is 14173?
14173 is the 1668th prime number.
What is the sum of the first 1668 primes?
11,039,987.