What is the 3808th prime number?
The 3808th prime number is 35839. The next prime is 35851 (a gap of 12) and the one before is 35837.
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 3808th one is 35839.
- 2
35839 is prime because no prime up to ā35839 ā 189.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3808th prime is close to 3808 Ć ln(3808) ā 31396, and here it is 35839.
- 4
35839 is a twin prime: 35837 and 35839 are both prime.
Primes around the 3808th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3805 | 35809 | 6 |
| 3806 | 35831 | 22 |
| 3807 | 35837 | 6 |
| 3808 | 35839 | 2 |
| 3809 | 35851 | 12 |
| 3810 | 35863 | 12 |
| 3811 | 35869 | 6 |
Questions
What is the 3808th prime number?
35839.
Which prime number is 35839?
35839 is the 3808th prime number.
What is the sum of the first 3808 primes?
64,196,207.