What is the 2174th prime number?
The 2174th prime number is 19163. The next prime is 19181 (a gap of 18) and the one before is 19157.
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 2174th one is 19163.
- 2
19163 is prime because no prime up to ā19163 ā 138.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2174th prime is close to 2174 Ć ln(2174) ā 16706, and here it is 19163.
- 4
19163 has no twin: neither 19161 nor 19165 is prime.
Primes around the 2174th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2171 | 19139 | 18 |
| 2172 | 19141 | 2 |
| 2173 | 19157 | 16 |
| 2174 | 19163 | 6 |
| 2175 | 19181 | 18 |
| 2176 | 19183 | 2 |
| 2177 | 19207 | 24 |
Questions
What is the 2174th prime number?
19163.
Which prime number is 19163?
19163 is the 2174th prime number.
What is the sum of the first 2174 primes?
19,447,681.