What is the 1856th prime number?
The 1856th prime number is 15919. The next prime is 15923 (a gap of 4) and the one before is 15913.
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 1856th one is 15919.
- 2
15919 is prime because no prime up to ā15919 ā 126.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1856th prime is close to 1856 Ć ln(1856) ā 13969, and here it is 15919.
- 4
15919 has no twin: neither 15917 nor 15921 is prime.
Primes around the 1856th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1853 | 15901 | 12 |
| 1854 | 15907 | 6 |
| 1855 | 15913 | 6 |
| 1856 | 15919 | 6 |
| 1857 | 15923 | 4 |
| 1858 | 15937 | 14 |
| 1859 | 15959 | 22 |
Questions
What is the 1856th prime number?
15919.
Which prime number is 15919?
15919 is the 1856th prime number.
What is the sum of the first 1856 primes?
13,873,751.