What is the 2083rd prime number?
The 2083rd prime number is 18181. The next prime is 18191 (a gap of 10) and the one before is 18169.
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 2083rd one is 18181.
- 2
18181 is prime because no prime up to ā18181 ā 134.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2083rd prime is close to 2083 Ć ln(2083) ā 15917, and here it is 18181.
- 4
18181 has no twin: neither 18179 nor 18183 is prime.
Primes around the 2083rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2080 | 18143 | 10 |
| 2081 | 18149 | 6 |
| 2082 | 18169 | 20 |
| 2083 | 18181 | 12 |
| 2084 | 18191 | 10 |
| 2085 | 18199 | 8 |
| 2086 | 18211 | 12 |
Questions
What is the 2083rd prime number?
18181.
Which prime number is 18181?
18181 is the 2083rd prime number.
What is the sum of the first 2083 primes?
17,751,186.