What is the 2167th prime number?
The 2167th prime number is 19079. The next prime is 19081 (a gap of 2) and the one before is 19073.
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 2167th one is 19079.
- 2
19079 is prime because no prime up to ā19079 ā 138.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2167th prime is close to 2167 Ć ln(2167) ā 16645, and here it is 19079.
- 4
19079 is a twin prime: 19079 and 19081 are both prime.
Primes around the 2167th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2164 | 19051 | 14 |
| 2165 | 19069 | 18 |
| 2166 | 19073 | 4 |
| 2167 | 19079 | 6 |
| 2168 | 19081 | 2 |
| 2169 | 19087 | 6 |
| 2170 | 19121 | 34 |
Questions
What is the 2167th prime number?
19079.
Which prime number is 19079?
19079 is the 2167th prime number.
What is the sum of the first 2167 primes?
19,313,792.