What is the 2163rd prime number?
The 2163rd prime number is 19037. The next prime is 19051 (a gap of 14) and the one before is 19031.
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 2163rd one is 19037.
- 2
19037 is prime because no prime up to ā19037 ā 137.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2163rd prime is close to 2163 Ć ln(2163) ā 16610, and here it is 19037.
- 4
19037 has no twin: neither 19035 nor 19039 is prime.
Primes around the 2163rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2160 | 19009 | 8 |
| 2161 | 19013 | 4 |
| 2162 | 19031 | 18 |
| 2163 | 19037 | 6 |
| 2164 | 19051 | 14 |
| 2165 | 19069 | 18 |
| 2166 | 19073 | 4 |
Questions
What is the 2163rd prime number?
19037.
Which prime number is 19037?
19037 is the 2163rd prime number.
What is the sum of the first 2163 primes?
19,237,520.