What is the 3839th prime number?
The 3839th prime number is 36151. The next prime is 36161 (a gap of 10) and the one before is 36137.
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 3839th one is 36151.
- 2
36151 is prime because no prime up to ā36151 ā 190.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3839th prime is close to 3839 Ć ln(3839) ā 31683, and here it is 36151.
- 4
36151 has no twin: neither 36149 nor 36153 is prime.
Primes around the 3839th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3836 | 36109 | 2 |
| 3837 | 36131 | 22 |
| 3838 | 36137 | 6 |
| 3839 | 36151 | 14 |
| 3840 | 36161 | 10 |
| 3841 | 36187 | 26 |
| 3842 | 36191 | 4 |
Questions
What is the 3839th prime number?
36151.
Which prime number is 36151?
36151 is the 3839th prime number.
What is the sum of the first 3839 primes?
65,312,168.