What is the 1664th prime number?
The 1664th prime number is 14143. The next prime is 14149 (a gap of 6) and the one before is 14107.
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 1664th one is 14143.
- 2
14143 is prime because no prime up to ā14143 ā 118.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1664th prime is close to 1664 Ć ln(1664) ā 12342, and here it is 14143.
- 4
14143 has no twin: neither 14141 nor 14145 is prime.
Primes around the 1664th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1661 | 14083 | 2 |
| 1662 | 14087 | 4 |
| 1663 | 14107 | 20 |
| 1664 | 14143 | 36 |
| 1665 | 14149 | 6 |
| 1666 | 14153 | 4 |
| 1667 | 14159 | 6 |
Questions
What is the 1664th prime number?
14143.
Which prime number is 14143?
14143 is the 1664th prime number.
What is the sum of the first 1664 primes?
10,983,353.