What is the 3828th prime number?
The 3828th prime number is 36017. The next prime is 36037 (a gap of 20) and the one before is 36013.
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 3828th one is 36017.
- 2
36017 is prime because no prime up to ā36017 ā 189.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3828th prime is close to 3828 Ć ln(3828) ā 31581, and here it is 36017.
- 4
36017 has no twin: neither 36015 nor 36019 is prime.
Primes around the 3828th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3825 | 36007 | 8 |
| 3826 | 36011 | 4 |
| 3827 | 36013 | 2 |
| 3828 | 36017 | 4 |
| 3829 | 36037 | 20 |
| 3830 | 36061 | 24 |
| 3831 | 36067 | 6 |
Questions
What is the 3828th prime number?
36017.
Which prime number is 36017?
36017 is the 3828th prime number.
What is the sum of the first 3828 primes?
64,915,115.