What is the 3824th prime number?
The 3824th prime number is 35999. The next prime is 36007 (a gap of 8) and the one before is 35993.
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 3824th one is 35999.
- 2
35999 is prime because no prime up to ā35999 ā 189.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3824th prime is close to 3824 Ć ln(3824) ā 31544, and here it is 35999.
- 4
35999 has no twin: neither 35997 nor 36001 is prime.
Primes around the 3824th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3821 | 35977 | 8 |
| 3822 | 35983 | 6 |
| 3823 | 35993 | 10 |
| 3824 | 35999 | 6 |
| 3825 | 36007 | 8 |
| 3826 | 36011 | 4 |
| 3827 | 36013 | 2 |
Questions
What is the 3824th prime number?
35999.
Which prime number is 35999?
35999 is the 3824th prime number.
What is the sum of the first 3824 primes?
64,771,067.