What is the 2084th prime number?
The 2084th prime number is 18191. The next prime is 18199 (a gap of 8) and the one before is 18181.
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 2084th one is 18191.
- 2
18191 is prime because no prime up to ā18191 ā 134.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2084th prime is close to 2084 Ć ln(2084) ā 15926, and here it is 18191.
- 4
18191 has no twin: neither 18189 nor 18193 is prime.
Primes around the 2084th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2081 | 18149 | 6 |
| 2082 | 18169 | 20 |
| 2083 | 18181 | 12 |
| 2084 | 18191 | 10 |
| 2085 | 18199 | 8 |
| 2086 | 18211 | 12 |
| 2087 | 18217 | 6 |
Questions
What is the 2084th prime number?
18191.
Which prime number is 18191?
18191 is the 2084th prime number.
What is the sum of the first 2084 primes?
17,769,377.