What is the 1873rd prime number?
The 1873rd prime number is 16091. The next prime is 16097 (a gap of 6) and the one before is 16087.
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 1873rd one is 16091.
- 2
16091 is prime because no prime up to ā16091 ā 126.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1873rd prime is close to 1873 Ć ln(1873) ā 14114, and here it is 16091.
- 4
16091 has no twin: neither 16089 nor 16093 is prime.
Primes around the 1873rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1870 | 16069 | 2 |
| 1871 | 16073 | 4 |
| 1872 | 16087 | 14 |
| 1873 | 16091 | 4 |
| 1874 | 16097 | 6 |
| 1875 | 16103 | 6 |
| 1876 | 16111 | 8 |
Questions
What is the 1873rd prime number?
16091.
Which prime number is 16091?
16091 is the 1873rd prime number.
What is the sum of the first 1873 primes?
14,146,114.