What is the 2081st prime number?
The 2081st prime number is 18149. The next prime is 18169 (a gap of 20) and the one before is 18143.
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 2081st one is 18149.
- 2
18149 is prime because no prime up to ā18149 ā 134.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2081st prime is close to 2081 Ć ln(2081) ā 15900, and here it is 18149.
- 4
18149 has no twin: neither 18147 nor 18151 is prime.
Primes around the 2081st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2078 | 18131 | 4 |
| 2079 | 18133 | 2 |
| 2080 | 18143 | 10 |
| 2081 | 18149 | 6 |
| 2082 | 18169 | 20 |
| 2083 | 18181 | 12 |
| 2084 | 18191 | 10 |
Questions
What is the 2081st prime number?
18149.
Which prime number is 18149?
18149 is the 2081st prime number.
What is the sum of the first 2081 primes?
17,714,836.