What is the 3840th prime number?
The 3840th prime number is 36161. The next prime is 36187 (a gap of 26) and the one before is 36151.
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 3840th one is 36161.
- 2
36161 is prime because no prime up to ā36161 ā 190.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3840th prime is close to 3840 Ć ln(3840) ā 31692, and here it is 36161.
- 4
36161 has no twin: neither 36159 nor 36163 is prime.
Primes around the 3840th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3837 | 36131 | 22 |
| 3838 | 36137 | 6 |
| 3839 | 36151 | 14 |
| 3840 | 36161 | 10 |
| 3841 | 36187 | 26 |
| 3842 | 36191 | 4 |
| 3843 | 36209 | 18 |
Questions
What is the 3840th prime number?
36161.
Which prime number is 36161?
36161 is the 3840th prime number.
What is the sum of the first 3840 primes?
65,348,329.