What is the 3836th prime number?
The 3836th prime number is 36109. The next prime is 36131 (a gap of 22) and the one before is 36107.
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 3836th one is 36109.
- 2
36109 is prime because no prime up to ā36109 ā 190.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3836th prime is close to 3836 Ć ln(3836) ā 31655, and here it is 36109.
- 4
36109 is a twin prime: 36107 and 36109 are both prime.
Primes around the 3836th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3833 | 36083 | 10 |
| 3834 | 36097 | 14 |
| 3835 | 36107 | 10 |
| 3836 | 36109 | 2 |
| 3837 | 36131 | 22 |
| 3838 | 36137 | 6 |
| 3839 | 36151 | 14 |
Questions
What is the 3836th prime number?
36109.
Which prime number is 36109?
36109 is the 3836th prime number.
What is the sum of the first 3836 primes?
65,203,749.