What is the 3826th prime number?
The 3826th prime number is 36011. The next prime is 36013 (a gap of 2) and the one before is 36007.
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 3826th one is 36011.
- 2
36011 is prime because no prime up to ā36011 ā 189.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3826th prime is close to 3826 Ć ln(3826) ā 31563, and here it is 36011.
- 4
36011 is a twin prime: 36011 and 36013 are both prime.
Primes around the 3826th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3823 | 35993 | 10 |
| 3824 | 35999 | 6 |
| 3825 | 36007 | 8 |
| 3826 | 36011 | 4 |
| 3827 | 36013 | 2 |
| 3828 | 36017 | 4 |
| 3829 | 36037 | 20 |
Questions
What is the 3826th prime number?
36011.
Which prime number is 36011?
36011 is the 3826th prime number.
What is the sum of the first 3826 primes?
64,843,085.