What is the 1842nd prime number?
The 1842nd prime number is 15791. The next prime is 15797 (a gap of 6) and the one before is 15787.
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 1842nd one is 15791.
- 2
15791 is prime because no prime up to ā15791 ā 125.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1842nd prime is close to 1842 Ć ln(1842) ā 13849, and here it is 15791.
- 4
15791 has no twin: neither 15789 nor 15793 is prime.
Primes around the 1842nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1839 | 15767 | 6 |
| 1840 | 15773 | 6 |
| 1841 | 15787 | 14 |
| 1842 | 15791 | 4 |
| 1843 | 15797 | 6 |
| 1844 | 15803 | 6 |
| 1845 | 15809 | 6 |
Questions
What is the 1842nd prime number?
15791.
Which prime number is 15791?
15791 is the 1842nd prime number.
What is the sum of the first 1842 primes?
13,651,669.