What is the 1870th prime number?
The 1870th prime number is 16069. The next prime is 16073 (a gap of 4) and the one before is 16067.
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 1870th one is 16069.
- 2
16069 is prime because no prime up to ā16069 ā 126.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1870th prime is close to 1870 Ć ln(1870) ā 14088, and here it is 16069.
- 4
16069 is a twin prime: 16067 and 16069 are both prime.
Primes around the 1870th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1867 | 16061 | 4 |
| 1868 | 16063 | 2 |
| 1869 | 16067 | 4 |
| 1870 | 16069 | 2 |
| 1871 | 16073 | 4 |
| 1872 | 16087 | 14 |
| 1873 | 16091 | 4 |
Questions
What is the 1870th prime number?
16069.
Which prime number is 16069?
16069 is the 1870th prime number.
What is the sum of the first 1870 primes?
14,097,863.