What is the 1663rd prime number?
The 1663rd prime number is 14107. The next prime is 14143 (a gap of 36) and the one before is 14087.
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 1663rd one is 14107.
- 2
14107 is prime because no prime up to ā14107 ā 118.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1663rd prime is close to 1663 Ć ln(1663) ā 12333, and here it is 14107.
- 4
14107 has no twin: neither 14105 nor 14109 is prime.
Primes around the 1663rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1660 | 14081 | 10 |
| 1661 | 14083 | 2 |
| 1662 | 14087 | 4 |
| 1663 | 14107 | 20 |
| 1664 | 14143 | 36 |
| 1665 | 14149 | 6 |
| 1666 | 14153 | 4 |
Questions
What is the 1663rd prime number?
14107.
Which prime number is 14107?
14107 is the 1663rd prime number.
What is the sum of the first 1663 primes?
10,969,210.