What is the 3827th prime number?
The 3827th prime number is 36013. The next prime is 36017 (a gap of 4) and the one before is 36011.
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 3827th one is 36013.
- 2
36013 is prime because no prime up to ā36013 ā 189.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3827th prime is close to 3827 Ć ln(3827) ā 31572, and here it is 36013.
- 4
36013 is a twin prime: 36011 and 36013 are both prime.
Primes around the 3827th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3824 | 35999 | 6 |
| 3825 | 36007 | 8 |
| 3826 | 36011 | 4 |
| 3827 | 36013 | 2 |
| 3828 | 36017 | 4 |
| 3829 | 36037 | 20 |
| 3830 | 36061 | 24 |
Questions
What is the 3827th prime number?
36013.
Which prime number is 36013?
36013 is the 3827th prime number.
What is the sum of the first 3827 primes?
64,879,098.