What is the 2082nd prime number?
The 2082nd prime number is 18169. The next prime is 18181 (a gap of 12) and the one before is 18149.
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 2082nd one is 18169.
- 2
18169 is prime because no prime up to ā18169 ā 134.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2082nd prime is close to 2082 Ć ln(2082) ā 15909, and here it is 18169.
- 4
18169 has no twin: neither 18167 nor 18171 is prime.
Primes around the 2082nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2079 | 18133 | 2 |
| 2080 | 18143 | 10 |
| 2081 | 18149 | 6 |
| 2082 | 18169 | 20 |
| 2083 | 18181 | 12 |
| 2084 | 18191 | 10 |
| 2085 | 18199 | 8 |
Questions
What is the 2082nd prime number?
18169.
Which prime number is 18169?
18169 is the 2082nd prime number.
What is the sum of the first 2082 primes?
17,733,005.