What is the 3804th prime number?
The 3804th prime number is 35803. The next prime is 35809 (a gap of 6) and the one before is 35801.
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 3804th one is 35803.
- 2
35803 is prime because no prime up to ā35803 ā 189.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3804th prime is close to 3804 Ć ln(3804) ā 31359, and here it is 35803.
- 4
35803 is a twin prime: 35801 and 35803 are both prime.
Primes around the 3804th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3801 | 35771 | 12 |
| 3802 | 35797 | 26 |
| 3803 | 35801 | 4 |
| 3804 | 35803 | 2 |
| 3805 | 35809 | 6 |
| 3806 | 35831 | 22 |
| 3807 | 35837 | 6 |
Questions
What is the 3804th prime number?
35803.
Which prime number is 35803?
35803 is the 3804th prime number.
What is the sum of the first 3804 primes?
64,052,891.