What is the 1667th prime number?
The 1667th prime number is 14159. The next prime is 14173 (a gap of 14) and the one before is 14153.
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 1667th one is 14159.
- 2
14159 is prime because no prime up to ā14159 ā 118.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1667th prime is close to 1667 Ć ln(1667) ā 12367, and here it is 14159.
- 4
14159 has no twin: neither 14157 nor 14161 is prime.
Primes around the 1667th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1664 | 14143 | 36 |
| 1665 | 14149 | 6 |
| 1666 | 14153 | 4 |
| 1667 | 14159 | 6 |
| 1668 | 14173 | 14 |
| 1669 | 14177 | 4 |
| 1670 | 14197 | 20 |
Questions
What is the 1667th prime number?
14159.
Which prime number is 14159?
14159 is the 1667th prime number.
What is the sum of the first 1667 primes?
11,025,814.