What is the 2164th prime number?
The 2164th prime number is 19051. The next prime is 19069 (a gap of 18) and the one before is 19037.
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 2164th one is 19051.
- 2
19051 is prime because no prime up to ā19051 ā 138.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2164th prime is close to 2164 Ć ln(2164) ā 16619, and here it is 19051.
- 4
19051 has no twin: neither 19049 nor 19053 is prime.
Primes around the 2164th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2161 | 19013 | 4 |
| 2162 | 19031 | 18 |
| 2163 | 19037 | 6 |
| 2164 | 19051 | 14 |
| 2165 | 19069 | 18 |
| 2166 | 19073 | 4 |
| 2167 | 19079 | 6 |
Questions
What is the 2164th prime number?
19051.
Which prime number is 19051?
19051 is the 2164th prime number.
What is the sum of the first 2164 primes?
19,256,571.