What is the 2168th prime number?
The 2168th prime number is 19081. The next prime is 19087 (a gap of 6) and the one before is 19079.
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 2168th one is 19081.
- 2
19081 is prime because no prime up to ā19081 ā 138.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2168th prime is close to 2168 Ć ln(2168) ā 16654, and here it is 19081.
- 4
19081 is a twin prime: 19079 and 19081 are both prime.
Primes around the 2168th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2165 | 19069 | 18 |
| 2166 | 19073 | 4 |
| 2167 | 19079 | 6 |
| 2168 | 19081 | 2 |
| 2169 | 19087 | 6 |
| 2170 | 19121 | 34 |
| 2171 | 19139 | 18 |
Questions
What is the 2168th prime number?
19081.
Which prime number is 19081?
19081 is the 2168th prime number.
What is the sum of the first 2168 primes?
19,332,873.