What is the 1662nd prime number?
The 1662nd prime number is 14087. The next prime is 14107 (a gap of 20) and the one before is 14083.
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 1662nd one is 14087.
- 2
14087 is prime because no prime up to ā14087 ā 118.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1662nd prime is close to 1662 Ć ln(1662) ā 12325, and here it is 14087.
- 4
14087 has no twin: neither 14085 nor 14089 is prime.
Primes around the 1662nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1659 | 14071 | 14 |
| 1660 | 14081 | 10 |
| 1661 | 14083 | 2 |
| 1662 | 14087 | 4 |
| 1663 | 14107 | 20 |
| 1664 | 14143 | 36 |
| 1665 | 14149 | 6 |
Questions
What is the 1662nd prime number?
14087.
Which prime number is 14087?
14087 is the 1662nd prime number.
What is the sum of the first 1662 primes?
10,955,103.