What is the 3843rd prime number?
The 3843rd prime number is 36209. The next prime is 36217 (a gap of 8) and the one before is 36191.
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 3843rd one is 36209.
- 2
36209 is prime because no prime up to ā36209 ā 190.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3843rd prime is close to 3843 Ć ln(3843) ā 31720, and here it is 36209.
- 4
36209 has no twin: neither 36207 nor 36211 is prime.
Primes around the 3843rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3840 | 36161 | 10 |
| 3841 | 36187 | 26 |
| 3842 | 36191 | 4 |
| 3843 | 36209 | 18 |
| 3844 | 36217 | 8 |
| 3845 | 36229 | 12 |
| 3846 | 36241 | 12 |
Questions
What is the 3843rd prime number?
36209.
Which prime number is 36209?
36209 is the 3843rd prime number.
What is the sum of the first 3843 primes?
65,456,916.