What is the 1872nd prime number?
The 1872nd prime number is 16087. The next prime is 16091 (a gap of 4) and the one before is 16073.
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 1872nd one is 16087.
- 2
16087 is prime because no prime up to ā16087 ā 126.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1872nd prime is close to 1872 Ć ln(1872) ā 14105, and here it is 16087.
- 4
16087 has no twin: neither 16085 nor 16089 is prime.
Primes around the 1872nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1869 | 16067 | 4 |
| 1870 | 16069 | 2 |
| 1871 | 16073 | 4 |
| 1872 | 16087 | 14 |
| 1873 | 16091 | 4 |
| 1874 | 16097 | 6 |
| 1875 | 16103 | 6 |
Questions
What is the 1872nd prime number?
16087.
Which prime number is 16087?
16087 is the 1872nd prime number.
What is the sum of the first 1872 primes?
14,130,023.