What is the 2170th prime number?
The 2170th prime number is 19121. The next prime is 19139 (a gap of 18) and the one before is 19087.
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 2170th one is 19121.
- 2
19121 is prime because no prime up to ā19121 ā 138.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2170th prime is close to 2170 Ć ln(2170) ā 16671, and here it is 19121.
- 4
19121 has no twin: neither 19119 nor 19123 is prime.
Primes around the 2170th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2167 | 19079 | 6 |
| 2168 | 19081 | 2 |
| 2169 | 19087 | 6 |
| 2170 | 19121 | 34 |
| 2171 | 19139 | 18 |
| 2172 | 19141 | 2 |
| 2173 | 19157 | 16 |
Questions
What is the 2170th prime number?
19121.
Which prime number is 19121?
19121 is the 2170th prime number.
What is the sum of the first 2170 primes?
19,371,081.