What is the 1661st prime number?
The 1661st prime number is 14083. The next prime is 14087 (a gap of 4) and the one before is 14081.
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 1661st one is 14083.
- 2
14083 is prime because no prime up to ā14083 ā 118.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1661st prime is close to 1661 Ć ln(1661) ā 12317, and here it is 14083.
- 4
14083 is a twin prime: 14081 and 14083 are both prime.
Primes around the 1661st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1658 | 14057 | 6 |
| 1659 | 14071 | 14 |
| 1660 | 14081 | 10 |
| 1661 | 14083 | 2 |
| 1662 | 14087 | 4 |
| 1663 | 14107 | 20 |
| 1664 | 14143 | 36 |
Questions
What is the 1661st prime number?
14083.
Which prime number is 14083?
14083 is the 1661st prime number.
What is the sum of the first 1661 primes?
10,941,016.