What is the 1843rd prime number?
The 1843rd prime number is 15797. The next prime is 15803 (a gap of 6) and the one before is 15791.
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 1843rd one is 15797.
- 2
15797 is prime because no prime up to ā15797 ā 125.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1843rd prime is close to 1843 Ć ln(1843) ā 13858, and here it is 15797.
- 4
15797 has no twin: neither 15795 nor 15799 is prime.
Primes around the 1843rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1840 | 15773 | 6 |
| 1841 | 15787 | 14 |
| 1842 | 15791 | 4 |
| 1843 | 15797 | 6 |
| 1844 | 15803 | 6 |
| 1845 | 15809 | 6 |
| 1846 | 15817 | 8 |
Questions
What is the 1843rd prime number?
15797.
Which prime number is 15797?
15797 is the 1843rd prime number.
What is the sum of the first 1843 primes?
13,667,466.