What is the 2171st prime number?
The 2171st prime number is 19139. The next prime is 19141 (a gap of 2) and the one before is 19121.
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 2171st one is 19139.
- 2
19139 is prime because no prime up to ā19139 ā 138.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2171st prime is close to 2171 Ć ln(2171) ā 16680, and here it is 19139.
- 4
19139 is a twin prime: 19139 and 19141 are both prime.
Primes around the 2171st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2168 | 19081 | 2 |
| 2169 | 19087 | 6 |
| 2170 | 19121 | 34 |
| 2171 | 19139 | 18 |
| 2172 | 19141 | 2 |
| 2173 | 19157 | 16 |
| 2174 | 19163 | 6 |
Questions
What is the 2171st prime number?
19139.
Which prime number is 19139?
19139 is the 2171st prime number.
What is the sum of the first 2171 primes?
19,390,220.