What is the 1874th prime number?
The 1874th prime number is 16097. The next prime is 16103 (a gap of 6) and the one before is 16091.
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 1874th one is 16097.
- 2
16097 is prime because no prime up to ā16097 ā 126.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1874th prime is close to 1874 Ć ln(1874) ā 14122, and here it is 16097.
- 4
16097 has no twin: neither 16095 nor 16099 is prime.
Primes around the 1874th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1871 | 16073 | 4 |
| 1872 | 16087 | 14 |
| 1873 | 16091 | 4 |
| 1874 | 16097 | 6 |
| 1875 | 16103 | 6 |
| 1876 | 16111 | 8 |
| 1877 | 16127 | 16 |
Questions
What is the 1874th prime number?
16097.
Which prime number is 16097?
16097 is the 1874th prime number.
What is the sum of the first 1874 primes?
14,162,211.