What is the 1659th prime number?
The 1659th prime number is 14071. The next prime is 14081 (a gap of 10) and the one before is 14057.
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 1659th one is 14071.
- 2
14071 is prime because no prime up to ā14071 ā 118.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1659th prime is close to 1659 Ć ln(1659) ā 12300, and here it is 14071.
- 4
14071 has no twin: neither 14069 nor 14073 is prime.
Primes around the 1659th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1656 | 14033 | 4 |
| 1657 | 14051 | 18 |
| 1658 | 14057 | 6 |
| 1659 | 14071 | 14 |
| 1660 | 14081 | 10 |
| 1661 | 14083 | 2 |
| 1662 | 14087 | 4 |
Questions
What is the 1659th prime number?
14071.
Which prime number is 14071?
14071 is the 1659th prime number.
What is the sum of the first 1659 primes?
10,912,852.