What is the 1871st prime number?
The 1871st prime number is 16073. The next prime is 16087 (a gap of 14) and the one before is 16069.
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 1871st one is 16073.
- 2
16073 is prime because no prime up to ā16073 ā 126.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1871st prime is close to 1871 Ć ln(1871) ā 14097, and here it is 16073.
- 4
16073 has no twin: neither 16071 nor 16075 is prime.
Primes around the 1871st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1868 | 16063 | 2 |
| 1869 | 16067 | 4 |
| 1870 | 16069 | 2 |
| 1871 | 16073 | 4 |
| 1872 | 16087 | 14 |
| 1873 | 16091 | 4 |
| 1874 | 16097 | 6 |
Questions
What is the 1871st prime number?
16073.
Which prime number is 16073?
16073 is the 1871st prime number.
What is the sum of the first 1871 primes?
14,113,936.