What is the 2165th prime number?
The 2165th prime number is 19069. The next prime is 19073 (a gap of 4) and the one before is 19051.
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 2165th one is 19069.
- 2
19069 is prime because no prime up to ā19069 ā 138.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2165th prime is close to 2165 Ć ln(2165) ā 16628, and here it is 19069.
- 4
19069 has no twin: neither 19067 nor 19071 is prime.
Primes around the 2165th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2162 | 19031 | 18 |
| 2163 | 19037 | 6 |
| 2164 | 19051 | 14 |
| 2165 | 19069 | 18 |
| 2166 | 19073 | 4 |
| 2167 | 19079 | 6 |
| 2168 | 19081 | 2 |
Questions
What is the 2165th prime number?
19069.
Which prime number is 19069?
19069 is the 2165th prime number.
What is the sum of the first 2165 primes?
19,275,640.