What is the 1845th prime number?
The 1845th prime number is 15809. The next prime is 15817 (a gap of 8) and the one before is 15803.
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 1845th one is 15809.
- 2
15809 is prime because no prime up to ā15809 ā 125.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1845th prime is close to 1845 Ć ln(1845) ā 13875, and here it is 15809.
- 4
15809 has no twin: neither 15807 nor 15811 is prime.
Primes around the 1845th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1842 | 15791 | 4 |
| 1843 | 15797 | 6 |
| 1844 | 15803 | 6 |
| 1845 | 15809 | 6 |
| 1846 | 15817 | 8 |
| 1847 | 15823 | 6 |
| 1848 | 15859 | 36 |
Questions
What is the 1845th prime number?
15809.
Which prime number is 15809?
15809 is the 1845th prime number.
What is the sum of the first 1845 primes?
13,699,078.