What is the 3842nd prime number?
The 3842nd prime number is 36191. The next prime is 36209 (a gap of 18) and the one before is 36187.
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 3842nd one is 36191.
- 2
36191 is prime because no prime up to ā36191 ā 190.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3842nd prime is close to 3842 Ć ln(3842) ā 31711, and here it is 36191.
- 4
36191 has no twin: neither 36189 nor 36193 is prime.
Primes around the 3842nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3839 | 36151 | 14 |
| 3840 | 36161 | 10 |
| 3841 | 36187 | 26 |
| 3842 | 36191 | 4 |
| 3843 | 36209 | 18 |
| 3844 | 36217 | 8 |
| 3845 | 36229 | 12 |
Questions
What is the 3842nd prime number?
36191.
Which prime number is 36191?
36191 is the 3842nd prime number.
What is the sum of the first 3842 primes?
65,420,707.