What is the 2162nd prime number?
The 2162nd prime number is 19031. The next prime is 19037 (a gap of 6) and the one before is 19013.
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 2162nd one is 19031.
- 2
19031 is prime because no prime up to ā19031 ā 137.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2162nd prime is close to 2162 Ć ln(2162) ā 16602, and here it is 19031.
- 4
19031 has no twin: neither 19029 nor 19033 is prime.
Primes around the 2162nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2159 | 19001 | 22 |
| 2160 | 19009 | 8 |
| 2161 | 19013 | 4 |
| 2162 | 19031 | 18 |
| 2163 | 19037 | 6 |
| 2164 | 19051 | 14 |
| 2165 | 19069 | 18 |
Questions
What is the 2162nd prime number?
19031.
Which prime number is 19031?
19031 is the 2162nd prime number.
What is the sum of the first 2162 primes?
19,218,483.