What is the 2166th prime number?
The 2166th prime number is 19073. The next prime is 19079 (a gap of 6) and the one before is 19069.
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 2166th one is 19073.
- 2
19073 is prime because no prime up to ā19073 ā 138.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2166th prime is close to 2166 Ć ln(2166) ā 16636, and here it is 19073.
- 4
19073 has no twin: neither 19071 nor 19075 is prime.
Primes around the 2166th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2163 | 19037 | 6 |
| 2164 | 19051 | 14 |
| 2165 | 19069 | 18 |
| 2166 | 19073 | 4 |
| 2167 | 19079 | 6 |
| 2168 | 19081 | 2 |
| 2169 | 19087 | 6 |
Questions
What is the 2166th prime number?
19073.
Which prime number is 19073?
19073 is the 2166th prime number.
What is the sum of the first 2166 primes?
19,294,713.