What is the 3825th prime number?
The 3825th prime number is 36007. The next prime is 36011 (a gap of 4) and the one before is 35999.
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 3825th one is 36007.
- 2
36007 is prime because no prime up to ā36007 ā 189.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3825th prime is close to 3825 Ć ln(3825) ā 31554, and here it is 36007.
- 4
36007 has no twin: neither 36005 nor 36009 is prime.
Primes around the 3825th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3822 | 35983 | 6 |
| 3823 | 35993 | 10 |
| 3824 | 35999 | 6 |
| 3825 | 36007 | 8 |
| 3826 | 36011 | 4 |
| 3827 | 36013 | 2 |
| 3828 | 36017 | 4 |
Questions
What is the 3825th prime number?
36007.
Which prime number is 36007?
36007 is the 3825th prime number.
What is the sum of the first 3825 primes?
64,807,074.