What is the 1660th prime number?
The 1660th prime number is 14081. The next prime is 14083 (a gap of 2) and the one before is 14071.
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 1660th one is 14081.
- 2
14081 is prime because no prime up to ā14081 ā 118.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1660th prime is close to 1660 Ć ln(1660) ā 12308, and here it is 14081.
- 4
14081 is a twin prime: 14081 and 14083 are both prime.
Primes around the 1660th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1657 | 14051 | 18 |
| 1658 | 14057 | 6 |
| 1659 | 14071 | 14 |
| 1660 | 14081 | 10 |
| 1661 | 14083 | 2 |
| 1662 | 14087 | 4 |
| 1663 | 14107 | 20 |
Questions
What is the 1660th prime number?
14081.
Which prime number is 14081?
14081 is the 1660th prime number.
What is the sum of the first 1660 primes?
10,926,933.