What is the 3841st prime number?
The 3841st prime number is 36187. The next prime is 36191 (a gap of 4) and the one before is 36161.
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 3841st one is 36187.
- 2
36187 is prime because no prime up to ā36187 ā 190.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3841st prime is close to 3841 Ć ln(3841) ā 31702, and here it is 36187.
- 4
36187 has no twin: neither 36185 nor 36189 is prime.
Primes around the 3841st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3838 | 36137 | 6 |
| 3839 | 36151 | 14 |
| 3840 | 36161 | 10 |
| 3841 | 36187 | 26 |
| 3842 | 36191 | 4 |
| 3843 | 36209 | 18 |
| 3844 | 36217 | 8 |
Questions
What is the 3841st prime number?
36187.
Which prime number is 36187?
36187 is the 3841st prime number.
What is the sum of the first 3841 primes?
65,384,516.