What is the 2161st prime number?
The 2161st prime number is 19013. The next prime is 19031 (a gap of 18) and the one before is 19009.
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 2161st one is 19013.
- 2
19013 is prime because no prime up to ā19013 ā 137.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2161st prime is close to 2161 Ć ln(2161) ā 16593, and here it is 19013.
- 4
19013 has no twin: neither 19011 nor 19015 is prime.
Primes around the 2161st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2158 | 18979 | 6 |
| 2159 | 19001 | 22 |
| 2160 | 19009 | 8 |
| 2161 | 19013 | 4 |
| 2162 | 19031 | 18 |
| 2163 | 19037 | 6 |
| 2164 | 19051 | 14 |
Questions
What is the 2161st prime number?
19013.
Which prime number is 19013?
19013 is the 2161st prime number.
What is the sum of the first 2161 primes?
19,199,452.