What is the 1875th prime number?
The 1875th prime number is 16103. The next prime is 16111 (a gap of 8) and the one before is 16097.
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 1875th one is 16103.
- 2
16103 is prime because no prime up to ā16103 ā 126.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1875th prime is close to 1875 Ć ln(1875) ā 14131, and here it is 16103.
- 4
16103 has no twin: neither 16101 nor 16105 is prime.
Primes around the 1875th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1872 | 16087 | 14 |
| 1873 | 16091 | 4 |
| 1874 | 16097 | 6 |
| 1875 | 16103 | 6 |
| 1876 | 16111 | 8 |
| 1877 | 16127 | 16 |
| 1878 | 16139 | 12 |
Questions
What is the 1875th prime number?
16103.
Which prime number is 16103?
16103 is the 1875th prime number.
What is the sum of the first 1875 primes?
14,178,314.